338550586607232 has 384 divisors, whose sum is σ = 997469974800000. Its totient is φ = 110184540364800.

The previous prime is 338550586607179. The next prime is 338550586607323. The reversal of 338550586607232 is 232706685055833.

338550586607232 is a `hidden beast` number, since 3 + 3 + 8 + 550 + 5 + 8 + 6 + 6 + 0 + 72 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×338550586607232² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338550586607232.

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, 17789417557 + ... + 17789436587.

It is an arithmetic number, because the mean of its divisors is an integer number (2597578059375).

Almost surely, 2^{338550586607232} is an apocalyptic number.

338550586607232 is a gapful number since it is divisible by the number (32) 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 338550586607232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498734987400000).

338550586607232 is an abundant number, since it is smaller than the sum of its proper divisors (658919388192768).

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

338550586607232 is a wasteful number, since it uses less digits than its factorization.

338550586607232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20960 (or 20945 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 338550586607232 in words is "three hundred thirty-eight trillion, five hundred fifty billion, five hundred eighty-six million, six hundred seven thousand, two hundred thirty-two".