338832106560 has 448 divisors, whose sum is σ = 1249354229760. Its totient is φ = 86284154880.

The previous prime is 338832106549. The next prime is 338832106567. The reversal of 338832106560 is 65601238833.

338832106560 is a `hidden beast` number, since 3 + 3 + 8 + 83 + 2 + 1 + 0 + 6 + 560 = 666.

It is a super-2 number, since 2×338832106560² (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 not an unprimeable number, because it can be changed into a prime (338832106567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175468795 + ... + 175470725.

It is an arithmetic number, because the mean of its divisors is an integer number (2788737120).

Almost surely, 2^338832106560 is an apocalyptic number.

338832106560 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 338832106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624677114880).

338832106560 is an abundant number, since it is smaller than the sum of its proper divisors (910522123200).

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

338832106560 is a wasteful number, since it uses less digits than its factorization.

338832106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 338832106560 in words is "three hundred thirty-eight billion, eight hundred thirty-two million, one hundred six thousand, five hundred sixty".