356994452160 has 336 divisors, whose sum is σ = 1312560849600. Its totient is φ = 88837816320.

The previous prime is 356994452149. The next prime is 356994452161. The reversal of 356994452160 is 61254499653.

356994452160 is a `hidden beast` number, since 3 + 56 + 9 + 9 + 4 + 4 + 521 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 356994452097 and 356994452106.

It is not an unprimeable number, because it can be changed into a prime (356994452161) 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, 2650116 + ... + 2781564.

It is an arithmetic number, because the mean of its divisors is an integer number (3906431100).

Almost surely, 2^356994452160 is an apocalyptic number.

356994452160 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 356994452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656280424800).

356994452160 is an abundant number, since it is smaller than the sum of its proper divisors (955566397440).

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

356994452160 is a wasteful number, since it uses less digits than its factorization.

356994452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131536 (or 131523 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 356994452160 in words is "three hundred fifty-six billion, nine hundred ninety-four million, four hundred fifty-two thousand, one hundred sixty".