10468313856 has 1152 divisors, whose sum is σ = 44503603200. Its totient is φ = 2335703040.

The previous prime is 10468313827. The next prime is 10468313861. The reversal of 10468313856 is 65831386401.

10468313856 is a `hidden beast` number, since 1 + 0 + 468 + 3 + 138 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117621460 + ... + 117621548.

It is an arithmetic number, because the mean of its divisors is an integer number (38631600).

Almost surely, 2^10468313856 is an apocalyptic number.

10468313856 is a gapful number since it is divisible by the number (16) 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 10468313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22251801600).

10468313856 is an abundant number, since it is smaller than the sum of its proper divisors (34035289344).

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

10468313856 is a wasteful number, since it uses less digits than its factorization.

10468313856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10468313856 in words is "ten billion, four hundred sixty-eight million, three hundred thirteen thousand, eight hundred fifty-six".