456578287792128 has 1040 divisors, whose sum is σ = 1433044794224736. Its totient is φ = 144687885189120.

The previous prime is 456578287792027. The next prime is 456578287792219. The reversal of 456578287792128 is 821297782875654.

456578287792128 is a `hidden beast` number, since 4 + 5 + 6 + 57 + 8 + 287 + 79 + 212 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 395991576000 + ... + 395991577152.

Almost surely, 2^{456578287792128} is an apocalyptic number.

456578287792128 is a gapful number since it is divisible by the number (48) 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 456578287792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716522397112368).

456578287792128 is an abundant number, since it is smaller than the sum of its proper divisors (976466506432608).

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

456578287792128 is a wasteful number, since it uses less digits than its factorization.

456578287792128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1919 counting only the distinct ones).

The product of its digits is 7586611200, while the sum is 81.

The spelling of 456578287792128 in words is "four hundred fifty-six trillion, five hundred seventy-eight billion, two hundred eighty-seven million, seven hundred ninety-two thousand, one hundred twenty-eight".