451297508688 has 160 divisors (see below), whose sum is σ = 1395394716800. Its totient is φ = 138825114624.

The previous prime is 451297508687. The next prime is 451297508749. The reversal of 451297508688 is 886805792154.

451297508688 is a `hidden beast` number, since 4 + 512 + 9 + 7 + 50 + 8 + 68 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451297508687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29246031 + ... + 29261457.

It is an arithmetic number, because the mean of its divisors is an integer number (8721216980).

Almost surely, 2^451297508688 is an apocalyptic number.

451297508688 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 451297508688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697697358400).

451297508688 is an abundant number, since it is smaller than the sum of its proper divisors (944097208112).

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

451297508688 is a wasteful number, since it uses less digits than its factorization.

451297508688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20666 (or 20654 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 451297508688 in words is "four hundred fifty-one billion, two hundred ninety-seven million, five hundred eight thousand, six hundred eighty-eight".