10451465964 has 336 divisors, whose sum is σ = 30540343680. Its totient is φ = 3115687680.

The previous prime is 10451465939. The next prime is 10451465977. The reversal of 10451465964 is 46956415401.

10451465964 is a `hidden beast` number, since 1 + 0 + 4 + 51 + 4 + 6 + 596 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 97677199 + ... + 97677305.

It is an arithmetic number, because the mean of its divisors is an integer number (90893880).

Almost surely, 2^10451465964 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 10451465964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270171840).

10451465964 is an abundant number, since it is smaller than the sum of its proper divisors (20088877716).

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

10451465964 is a wasteful number, since it uses less digits than its factorization.

10451465964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10451465964 in words is "ten billion, four hundred fifty-one million, four hundred sixty-five thousand, nine hundred sixty-four".