356113112532480 has 1280 divisors, whose sum is σ = 1368686398464000. Its totient is φ = 87494968737792.

The previous prime is 356113112532431. The next prime is 356113112532523. The reversal of 356113112532480 is 84235211311653.

356113112532480 is a `hidden beast` number, since 3 + 5 + 6 + 1 + 1 + 3 + 112 + 53 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19962607401 + ... + 19962625239.

It is an arithmetic number, because the mean of its divisors is an integer number (1069286248800).

Almost surely, 2^{356113112532480} is an apocalyptic number.

356113112532480 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 356113112532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684343199232000).

356113112532480 is an abundant number, since it is smaller than the sum of its proper divisors (1012573285931520).

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

356113112532480 is a wasteful number, since it uses less digits than its factorization.

356113112532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18356 (or 18334 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 356113112532480 in words is "three hundred fifty-six trillion, one hundred thirteen billion, one hundred twelve million, five hundred thirty-two thousand, four hundred eighty".