338461643520 has 1728 divisors, whose sum is σ = 1607074560000. Its totient is φ = 64811335680.

The previous prime is 338461643503. The next prime is 338461643561. The reversal of 338461643520 is 25346164833.

338461643520 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 61 + 64 + 3 + 520 = 666.

It is a super-2 number, since 2×338461643520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 565044181 + ... + 565044779.

It is an arithmetic number, because the mean of its divisors is an integer number (930020000).

Almost surely, 2^338461643520 is an apocalyptic number.

338461643520 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 338461643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280000).

338461643520 is an abundant number, since it is smaller than the sum of its proper divisors (1268612916480).

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

338461643520 is a wasteful number, since it uses less digits than its factorization.

338461643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 338461643520 in words is "three hundred thirty-eight billion, four hundred sixty-one million, six hundred forty-three thousand, five hundred twenty".