10314355968 has 180 divisors, whose sum is σ = 35149686880. Its totient is φ = 2946917376.

The previous prime is 10314355901. The next prime is 10314355993. The reversal of 10314355968 is 86955341301.

10314355968 is a `hidden beast` number, since 1 + 0 + 31 + 4 + 3 + 559 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109623 + ... + 180681.

Almost surely, 2^10314355968 is an apocalyptic number.

10314355968 is a gapful number since it is divisible by the number (18) 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 10314355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574843440).

10314355968 is an abundant number, since it is smaller than the sum of its proper divisors (24835330912).

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

10314355968 is an frugal number, since it uses more digits than its factorization.

10314355968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71094 (or 71071 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10314355968 in words is "ten billion, three hundred fourteen million, three hundred fifty-five thousand, nine hundred sixty-eight".