355582116864 has 352 divisors, whose sum is σ = 1193777648000. Its totient is φ = 103649476608.

The previous prime is 355582116863. The next prime is 355582116881. The reversal of 355582116864 is 468611285553.

355582116864 is a `hidden beast` number, since 3 + 5 + 558 + 2 + 1 + 1 + 6 + 86 + 4 = 666.

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 355582116864.

It is not an unprimeable number, because it can be changed into a prime (355582116863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6803022 + ... + 6855090.

Almost surely, 2^355582116864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355582116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596888824000).

355582116864 is an abundant number, since it is smaller than the sum of its proper divisors (838195531136).

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

355582116864 is a wasteful number, since it uses less digits than its factorization.

355582116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52130 (or 52106 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 355582116864 in words is "three hundred fifty-five billion, five hundred eighty-two million, one hundred sixteen thousand, eight hundred sixty-four".