451515313520000 has 160 divisors (see below), whose sum is σ = 1124778408039000. Its totient is φ = 180484129280000.

The previous prime is 451515313519993. The next prime is 451515313520003. The reversal of 451515313520000 is 25313515154.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451515313520003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116574551 + ... + 120385449.

Almost surely, 2^{451515313520000} is an apocalyptic number.

451515313520000 is a gapful number since it is divisible by the number (40) 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 451515313520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562389204019500).

451515313520000 is an abundant number, since it is smaller than the sum of its proper divisors (673263094519000).

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

451515313520000 is an equidigital number, since it uses as much as digits as its factorization.

451515313520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812414 (or 3812387 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 451515313520000 in words is "four hundred fifty-one trillion, five hundred fifteen billion, three hundred thirteen million, five hundred twenty thousand".