451431622653560 has 128 divisors (see below), whose sum is σ = 1032027819863040. Its totient is φ = 177683686118400.

The previous prime is 451431622653533. The next prime is 451431622653593. The reversal of 451431622653560 is 65356226134154.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9562787477 + ... + 9562834683.

It is an arithmetic number, because the mean of its divisors is an integer number (8062717342680).

Almost surely, 2^{451431622653560} is an apocalyptic number.

451431622653560 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 451431622653560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516013909931520).

451431622653560 is an abundant number, since it is smaller than the sum of its proper divisors (580596197209480).

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

451431622653560 is a wasteful number, since it uses less digits than its factorization.

451431622653560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53757 (or 53753 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 53.

The spelling of 451431622653560 in words is "four hundred fifty-one trillion, four hundred thirty-one billion, six hundred twenty-two million, six hundred fifty-three thousand, five hundred sixty".