358312102272 has 384 divisors, whose sum is σ = 1080827904000. Its totient is φ = 113810780160.

The previous prime is 358312102207. The next prime is 358312102273. The reversal of 358312102272 is 272201213853.

358312102272 is a `hidden beast` number, since 3 + 583 + 1 + 2 + 1 + 0 + 2 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (358312102273) 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, 902549178 + ... + 902549574.

It is an arithmetic number, because the mean of its divisors is an integer number (2814656000).

Almost surely, 2^358312102272 is an apocalyptic number.

358312102272 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 358312102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540413952000).

358312102272 is an abundant number, since it is smaller than the sum of its proper divisors (722515801728).

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

358312102272 is a wasteful number, since it uses less digits than its factorization.

358312102272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 358312102272 in words is "three hundred fifty-eight billion, three hundred twelve million, one hundred two thousand, two hundred seventy-two".