352967181120 has 672 divisors, whose sum is σ = 1349566178688. Its totient is φ = 87493312512.

The previous prime is 352967181113. The next prime is 352967181139. The reversal of 352967181120 is 21181769253.

352967181120 is a `hidden beast` number, since 3 + 529 + 6 + 7 + 1 + 8 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 109717752 + ... + 109720968.

It is an arithmetic number, because the mean of its divisors is an integer number (2008283004).

Almost surely, 2^352967181120 is an apocalyptic number.

352967181120 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 352967181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674783089344).

352967181120 is an abundant number, since it is smaller than the sum of its proper divisors (996598997568).

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

352967181120 is a wasteful number, since it uses less digits than its factorization.

352967181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 352967181120 in words is "three hundred fifty-two billion, nine hundred sixty-seven million, one hundred eighty-one thousand, one hundred twenty".