10014329916864 has 1344 divisors, whose sum is σ = 38247493939200. Its totient is φ = 2544108134400.

The previous prime is 10014329916791. The next prime is 10014329916911. The reversal of 10014329916864 is 46861992341001.

10014329916864 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 432 + 9 + 91 + 68 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10014329916864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9179036959 + ... + 9179038049.

It is an arithmetic number, because the mean of its divisors is an integer number (28457956800).

Almost surely, 2^{10014329916864} is an apocalyptic number.

10014329916864 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 10014329916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123746969600).

10014329916864 is an abundant number, since it is smaller than the sum of its proper divisors (28233164022336).

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

10014329916864 is a wasteful number, since it uses less digits than its factorization.

10014329916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10014329916864 in words is "ten trillion, fourteen billion, three hundred twenty-nine million, nine hundred sixteen thousand, eight hundred sixty-four".