456391129152 has 56 divisors (see below), whose sum is σ = 1380039846976. Its totient is φ = 130397465088.

The previous prime is 456391129141. The next prime is 456391129189. The reversal of 456391129152 is 251921193654.

It is a tau number, because it is divible by the number of its divisors (56).

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

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, 169787023 + ... + 169789710.

It is an arithmetic number, because the mean of its divisors is an integer number (24643568696).

Almost surely, 2^456391129152 is an apocalyptic number.

456391129152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

456391129152 is an abundant number, since it is smaller than the sum of its proper divisors (923648717824).

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

456391129152 is a wasteful number, since it uses less digits than its factorization.

456391129152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339576755 (or 339576745 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The spelling of 456391129152 in words is "four hundred fifty-six billion, three hundred ninety-one million, one hundred twenty-nine thousand, one hundred fifty-two".