468080091795456 has 1872 divisors, whose sum is σ = 1703940966000000. Its totient is φ = 125747287031808.

The previous prime is 468080091795439. The next prime is 468080091795493. The reversal of 468080091795456 is 654597190080864.

468080091795456 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 8 + 0 + 0 + 9 + 1 + 79 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 374763883920 + ... + 374763885168.

It is an arithmetic number, because the mean of its divisors is an integer number (910224875000).

Almost surely, 2^{468080091795456} 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 468080091795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851970483000000).

468080091795456 is an abundant number, since it is smaller than the sum of its proper divisors (1235860874204544).

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

468080091795456 is a wasteful number, since it uses less digits than its factorization.

468080091795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 468080091795456 in words is "four hundred sixty-eight trillion, eighty billion, ninety-one million, seven hundred ninety-five thousand, four hundred fifty-six".