356465056000 has 72 divisors (see below), whose sum is σ = 887999092344. Its totient is φ = 142586009600.

The previous prime is 356465055997. The next prime is 356465056001. The reversal of 356465056000 is 650564653.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28878244096 + 327586811904 = 169936^2 + 572352^2 .

It is a super-2 number, since 2×356465056000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (356465056001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5537767 + ... + 5601766.

It is an arithmetic number, because the mean of its divisors is an integer number (12333320727).

Almost surely, 2^356465056000 is an apocalyptic number.

It is an amenable number.

356465056000 is an abundant number, since it is smaller than the sum of its proper divisors (531534036344).

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

356465056000 is an equidigital number, since it uses as much as digits as its factorization.

356465056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139564 (or 11139540 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 356465056000 in words is "three hundred fifty-six billion, four hundred sixty-five million, fifty-six thousand".