10314864000 has 768 divisors, whose sum is σ = 44018956800. Its totient is φ = 2351462400.

The previous prime is 10314863987. The next prime is 10314864029. The reversal of 10314864000 is 46841301.

10314864000 is a `hidden beast` number, since 1 + 0 + 3 + 14 + 8 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 27215811 + ... + 27216189.

It is an arithmetic number, because the mean of its divisors is an integer number (57316350).

Almost surely, 2^10314864000 is an apocalyptic number.

10314864000 is a gapful number since it is divisible by the number (10) 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 10314864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22009478400).

10314864000 is an abundant number, since it is smaller than the sum of its proper divisors (33704092800).

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

10314864000 is an frugal number, since it uses more digits than its factorization.

10314864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10314864000 in words is "ten billion, three hundred fourteen million, eight hundred sixty-four thousand".