451457520668 has 192 divisors, whose sum is σ = 1038986403840. Its totient is φ = 166540492800.

The previous prime is 451457520653. The next prime is 451457520697. The reversal of 451457520668 is 866025754154.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82425146 + ... + 82430622.

It is an arithmetic number, because the mean of its divisors is an integer number (5411387520).

Almost surely, 2^451457520668 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 451457520668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519493201920).

451457520668 is an abundant number, since it is smaller than the sum of its proper divisors (587528883172).

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

451457520668 is a wasteful number, since it uses less digits than its factorization.

451457520668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 53.

The spelling of 451457520668 in words is "four hundred fifty-one billion, four hundred fifty-seven million, five hundred twenty thousand, six hundred sixty-eight".