338886651942720 has 672 divisors, whose sum is σ = 1390930068528000. Its totient is φ = 77447171063808.

The previous prime is 338886651942703. The next prime is 338886651942731. The reversal of 338886651942720 is 27249156688833.

338886651942720 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 8 + 66 + 519 + 4 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×338886651942720² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2730186579 + ... + 2730310701.

It is an arithmetic number, because the mean of its divisors is an integer number (2069836411500).

It is a 1-persistent number, because it is pandigital, but 2⋅338886651942720 = 677773303885440 is not.

Almost surely, 2^{338886651942720} is an apocalyptic number.

338886651942720 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 338886651942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695465034264000).

338886651942720 is an abundant number, since it is smaller than the sum of its proper divisors (1052043416585280).

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

338886651942720 is a wasteful number, since it uses less digits than its factorization.

338886651942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130612 (or 130589 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 338886651942720 in words is "three hundred thirty-eight trillion, eight hundred eighty-six billion, six hundred fifty-one million, nine hundred forty-two thousand, seven hundred twenty".