356397402816 has 420 divisors, whose sum is σ = 1323506601648. Its totient is φ = 93994048512.

The previous prime is 356397402793. The next prime is 356397402833. The reversal of 356397402816 is 618204793653.

356397402816 is a `hidden beast` number, since 3 + 563 + 9 + 7 + 40 + 28 + 16 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3248245 + ... + 3356171.

It is a 2-persistent number, because it is pandigital, and so is 2⋅356397402816 = 712794805632, but 3⋅356397402816 = 1069192208448 is not.

Almost surely, 2^356397402816 is an apocalyptic number.

356397402816 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 356397402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661753300824).

356397402816 is an abundant number, since it is smaller than the sum of its proper divisors (967109198832).

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

356397402816 is a wasteful number, since it uses less digits than its factorization.

356397402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107978 (or 107952 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 356397402816 in words is "three hundred fifty-six billion, three hundred ninety-seven million, four hundred two thousand, eight hundred sixteen".