356444008164 has 144 divisors (see below), whose sum is σ = 976600779840. Its totient is φ = 112412499840.

The previous prime is 356444008127. The next prime is 356444008169. The reversal of 356444008164 is 461800444653.

356444008164 is a `hidden beast` number, since 3 + 564 + 4 + 4 + 0 + 0 + 81 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (356444008169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31613632 + ... + 31624904.

It is an arithmetic number, because the mean of its divisors is an integer number (6781949860).

Almost surely, 2^356444008164 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 356444008164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488300389920).

356444008164 is an abundant number, since it is smaller than the sum of its proper divisors (620156771676).

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

356444008164 is a wasteful number, since it uses less digits than its factorization.

356444008164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12135 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 356444008164 in words is "three hundred fifty-six billion, four hundred forty-four million, eight thousand, one hundred sixty-four".