338904724064256 has 1152 divisors, whose sum is σ = 1223262006220800. Its totient is φ = 88233836544000.

The previous prime is 338904724064233. The next prime is 338904724064279. The reversal of 338904724064256 is 652460427409833.

It is a happy number.

338904724064256 is a `hidden beast` number, since 3 + 3 + 89 + 0 + 4 + 7 + 240 + 64 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (338904724064233) and next prime (338904724064279).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×338904724064256² (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 junction number, because it is equal to n+sod(n) for n = 338904724064193 and 338904724064202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7136164671 + ... + 7136212161.

It is an arithmetic number, because the mean of its divisors is an integer number (1061859380400).

Almost surely, 2^{338904724064256} is an apocalyptic number.

338904724064256 is a gapful number since it is divisible by the number (36) 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 338904724064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611631003110400).

338904724064256 is an abundant number, since it is smaller than the sum of its proper divisors (884357282156544).

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

338904724064256 is a wasteful number, since it uses less digits than its factorization.

338904724064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47657 (or 47634 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 338904724064256 in words is "three hundred thirty-eight trillion, nine hundred four billion, seven hundred twenty-four million, sixty-four thousand, two hundred fifty-six".