355164880896 has 648 divisors, whose sum is σ = 1238279646240. Its totient is φ = 99755753472.

The previous prime is 355164880877. The next prime is 355164880901. The reversal of 355164880896 is 698088461553.

355164880896 is a `hidden beast` number, since 3 + 55 + 16 + 488 + 0 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×355164880896² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6019743715 + ... + 6019743773.

It is an arithmetic number, because the mean of its divisors is an integer number (1910925380).

Almost surely, 2^355164880896 is an apocalyptic number.

355164880896 is a gapful number since it is divisible by the number (36) 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 355164880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619139823120).

355164880896 is an abundant number, since it is smaller than the sum of its proper divisors (883114765344).

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

355164880896 is an frugal number, since it uses more digits than its factorization.

355164880896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 355164880896 in words is "three hundred fifty-five billion, one hundred sixty-four million, eight hundred eighty thousand, eight hundred ninety-six".