451911763968 has 192 divisors, whose sum is σ = 1402905329280. Its totient is φ = 126680825856.

The previous prime is 451911763951. The next prime is 451911763999. The reversal of 451911763968 is 869367119154.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2180296 + ... + 2378552.

It is an arithmetic number, because the mean of its divisors is an integer number (7306798590).

Almost surely, 2^451911763968 is an apocalyptic number.

451911763968 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 451911763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701452664640).

451911763968 is an abundant number, since it is smaller than the sum of its proper divisors (950993565312).

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

451911763968 is a wasteful number, since it uses less digits than its factorization.

451911763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198342 (or 198322 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 60.

The spelling of 451911763968 in words is "four hundred fifty-one billion, nine hundred eleven million, seven hundred sixty-three thousand, nine hundred sixty-eight".