458312795136 has 220 divisors, whose sum is σ = 1564129534528. Its totient is φ = 130946347008.

The previous prime is 458312795117. The next prime is 458312795153. The reversal of 458312795136 is 631597213854.

It is a happy number.

458312795136 is a `hidden beast` number, since 4 + 58 + 3 + 1 + 2 + 79 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 185925 + ... + 975291.

Almost surely, 2^458312795136 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 458312795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782064767264).

458312795136 is an abundant number, since it is smaller than the sum of its proper divisors (1105816739392).

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

458312795136 is an equidigital number, since it uses as much as digits as its factorization.

458312795136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789406 (or 789379 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 458312795136 in words is "four hundred fifty-eight billion, three hundred twelve million, seven hundred ninety-five thousand, one hundred thirty-six".