10468491264 has 384 divisors, whose sum is σ = 37785908160. Its totient is φ = 2713190400.

The previous prime is 10468491223. The next prime is 10468491281. The reversal of 10468491264 is 46219486401.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22707994 + ... + 22708454.

Almost surely, 2^10468491264 is an apocalyptic number.

10468491264 is a gapful number since it is divisible by the number (14) 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 10468491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18892954080).

10468491264 is an abundant number, since it is smaller than the sum of its proper divisors (27317416896).

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

10468491264 is an equidigital number, since it uses as much as digits as its factorization.

10468491264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10468491264 in words is "ten billion, four hundred sixty-eight million, four hundred ninety-one thousand, two hundred sixty-four".