356001135823872 has 3168 divisors, whose sum is σ = 1386951661105920. Its totient is φ = 90165728378880.

The previous prime is 356001135823847. The next prime is 356001135823891. The reversal of 356001135823872 is 278328531100653.

356001135823872 is a `hidden beast` number, since 3 + 5 + 600 + 1 + 1 + 3 + 5 + 8 + 23 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1554590112654 + ... + 1554590112882.

Almost surely, 2^{356001135823872} is an apocalyptic number.

356001135823872 is a gapful number since it is divisible by the number (32) 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 356001135823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693475830552960).

356001135823872 is an abundant number, since it is smaller than the sum of its proper divisors (1030950525282048).

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

356001135823872 is a wasteful number, since it uses less digits than its factorization.

356001135823872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 356001135823872 in words is "three hundred fifty-six trillion, one billion, one hundred thirty-five million, eight hundred twenty-three thousand, eight hundred seventy-two".