456302127883128 has 128 divisors (see below), whose sum is σ = 1221984270385920. Its totient is φ = 141484487321600.

The previous prime is 456302127883067. The next prime is 456302127883139. The reversal of 456302127883128 is 821388721203654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13366051 + ... + 33034157.

It is an arithmetic number, because the mean of its divisors is an integer number (9546752112390).

Almost surely, 2^{456302127883128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456302127883128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610992135192960).

456302127883128 is an abundant number, since it is smaller than the sum of its proper divisors (765682142502792).

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

456302127883128 is a wasteful number, since it uses less digits than its factorization.

456302127883128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668797 (or 19668793 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 456302127883128 in words is "four hundred fifty-six trillion, three hundred two billion, one hundred twenty-seven million, eight hundred eighty-three thousand, one hundred twenty-eight".