456116367342520 has 128 divisors (see below), whose sum is σ = 1102626607219200. Its totient is φ = 169202025824256.

The previous prime is 456116367342511. The next prime is 456116367342553. The reversal of 456116367342520 is 25243763611654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6489 + ... + 30203191.

It is an arithmetic number, because the mean of its divisors is an integer number (8614270368900).

Almost surely, 2^{456116367342520} is an apocalyptic number.

456116367342520 is a gapful number since it is divisible by the number (40) 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 456116367342520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551313303609600).

456116367342520 is an abundant number, since it is smaller than the sum of its proper divisors (646510239876680).

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

456116367342520 is a wasteful number, since it uses less digits than its factorization.

456116367342520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30197057 (or 30197053 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 456116367342520 in words is "four hundred fifty-six trillion, one hundred sixteen billion, three hundred sixty-seven million, three hundred forty-two thousand, five hundred twenty".