451024455168 has 480 divisors, whose sum is σ = 1590078657024. Its totient is φ = 120134762496.

The previous prime is 451024455149. The next prime is 451024455181. The reversal of 451024455168 is 861554420154.

451024455168 is a `hidden beast` number, since 4 + 5 + 10 + 24 + 4 + 551 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58669821 + ... + 58677507.

Almost surely, 2^451024455168 is an apocalyptic number.

451024455168 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 451024455168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795039328512).

451024455168 is an abundant number, since it is smaller than the sum of its proper divisors (1139054201856).

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

451024455168 is a wasteful number, since it uses less digits than its factorization.

451024455168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7842 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 451024455168 in words is "four hundred fifty-one billion, twenty-four million, four hundred fifty-five thousand, one hundred sixty-eight".