14964664476960 has 1440 divisors, whose sum is σ = 62676610920000. Its totient is φ = 3325415731200.

The previous prime is 14964664476943. The next prime is 14964664476961. The reversal of 14964664476960 is 6967446646941.

14964664476960 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 4 + 6 + 64 + 476 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (14964664476961) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 2603000166 + ... + 2603005914.

It is an arithmetic number, because the mean of its divisors is an integer number (43525424250).

Almost surely, 2^{14964664476960} is an apocalyptic number.

14964664476960 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 14964664476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31338305460000).

14964664476960 is an abundant number, since it is smaller than the sum of its proper divisors (47711946443040).

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

14964664476960 is a wasteful number, since it uses less digits than its factorization.

14964664476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 14964664476960 in words is "fourteen trillion, nine hundred sixty-four billion, six hundred sixty-four million, four hundred seventy-six thousand, nine hundred sixty".