14921544960 has 864 divisors, whose sum is σ = 62691213312. Its totient is φ = 3204956160.

The previous prime is 14921544917. The next prime is 14921544971. The reversal of 14921544960 is 6944512941.

14921544960 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 154 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117492417 + ... + 117492543.

Almost surely, 2^14921544960 is an apocalyptic number.

14921544960 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 14921544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31345606656).

14921544960 is an abundant number, since it is smaller than the sum of its proper divisors (47769668352).

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

14921544960 is a wasteful number, since it uses less digits than its factorization.

14921544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14921544960 in words is "fourteen billion, nine hundred twenty-one million, five hundred forty-four thousand, nine hundred sixty".