10314671664 has 320 divisors, whose sum is σ = 33460715520. Its totient is φ = 2695680000.

The previous prime is 10314671663. The next prime is 10314671723. The reversal of 10314671664 is 46617641301.

It is a super-2 number, since 2×10314671664² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10314671663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5285889 + ... + 5287839.

It is an arithmetic number, because the mean of its divisors is an integer number (104564736).

Almost surely, 2^10314671664 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 10314671664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16730357760).

10314671664 is an abundant number, since it is smaller than the sum of its proper divisors (23146043856).

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

10314671664 is a wasteful number, since it uses less digits than its factorization.

10314671664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10314671664 in words is "ten billion, three hundred fourteen million, six hundred seventy-one thousand, six hundred sixty-four".