456163133052144 has 40 divisors (see below), whose sum is σ = 1346767345202560. Its totient is φ = 130332323729088.

The previous prime is 456163133052131. The next prime is 456163133052173. The reversal of 456163133052144 is 441250331361654.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 456163133052093 and 456163133052102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 678814185754 + ... + 678814186425.

It is an arithmetic number, because the mean of its divisors is an integer number (33669183630064).

Almost surely, 2^{456163133052144} is an apocalyptic number.

It is an amenable number.

456163133052144 is an abundant number, since it is smaller than the sum of its proper divisors (890604212150416).

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

456163133052144 is a wasteful number, since it uses less digits than its factorization.

456163133052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357628372197 (or 1357628372191 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 456163133052144 in words is "four hundred fifty-six trillion, one hundred sixty-three billion, one hundred thirty-three million, fifty-two thousand, one hundred forty-four".