451048019968 has 576 divisors, whose sum is σ = 1229742259200. Its totient is φ = 163313418240.

The previous prime is 451048019959. The next prime is 451048019969. The reversal of 451048019968 is 869910840154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451048019969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768394971 + ... + 768395557.

It is an arithmetic number, because the mean of its divisors is an integer number (2134969200).

Almost surely, 2^451048019968 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 451048019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614871129600).

451048019968 is an abundant number, since it is smaller than the sum of its proper divisors (778694239232).

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

451048019968 is a wasteful number, since it uses less digits than its factorization.

451048019968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 451048019968 in words is "four hundred fifty-one billion, forty-eight million, nineteen thousand, nine hundred sixty-eight".