338258192650560 has 6720 divisors, whose sum is σ = 1632936970969920. Its totient is φ = 65735601684480.

The previous prime is 338258192650549. The next prime is 338258192650607. The reversal of 338258192650560 is 65056291852833.

It is a happy number.

338258192650560 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 5 + 8 + 1 + 9 + 2 + 65 + 0 + 560 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 334603702814976 + 3654489835584 = 18292176^2 + 1911672^2 .

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-2 number, since 2×338258192650560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1080697100964 + ... + 1080697101276.

It is an arithmetic number, because the mean of its divisors is an integer number (242996573061).

Almost surely, 2^{338258192650560} is an apocalyptic number.

338258192650560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338258192650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816468485484960).

338258192650560 is an abundant number, since it is smaller than the sum of its proper divisors (1294678778319360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338258192650560 is a wasteful number, since it uses less digits than its factorization.

338258192650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 338258192650560 in words is "three hundred thirty-eight trillion, two hundred fifty-eight billion, one hundred ninety-two million, six hundred fifty thousand, five hundred sixty".