14990005476864 has 480 divisors, whose sum is σ = 48872392800000. Its totient is φ = 4533070417920.

The previous prime is 14990005476829. The next prime is 14990005476871. The reversal of 14990005476864 is 46867450009941.

14990005476864 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 0 + 0 + 0 + 547 + 6 + 86 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834670317 + ... + 834688275.

It is an arithmetic number, because the mean of its divisors is an integer number (101817485000).

Almost surely, 2^{14990005476864} 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 14990005476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24436196400000).

14990005476864 is an abundant number, since it is smaller than the sum of its proper divisors (33882387323136).

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

14990005476864 is a wasteful number, since it uses less digits than its factorization.

14990005476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18507 (or 18474 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 14990005476864 in words is "fourteen trillion, nine hundred ninety billion, five million, four hundred seventy-six thousand, eight hundred sixty-four".