338370725452032 has 432 divisors, whose sum is σ = 1238301180842880. Its totient is φ = 89240628731904.

The previous prime is 338370725452009. The next prime is 338370725452049. The reversal of 338370725452032 is 230254527073833.

338370725452032 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 7 + 0 + 72 + 545 + 20 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×338370725452032² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 338370725452032.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12513763 + ... + 28867554.

Almost surely, 2^{338370725452032} is an apocalyptic number.

338370725452032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338370725452032 is an abundant number, since it is smaller than the sum of its proper divisors (899930455390848).

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

338370725452032 is a wasteful number, since it uses less digits than its factorization.

338370725452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41381375 (or 41381342 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 338370725452032 in words is "three hundred thirty-eight trillion, three hundred seventy billion, seven hundred twenty-five million, four hundred fifty-two thousand, thirty-two".