14953548960 has 288 divisors, whose sum is σ = 58783076352. Its totient is φ = 3390750720.

The previous prime is 14953548943. The next prime is 14953548989. The reversal of 14953548960 is 6984535941.

14953548960 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 3 + 548 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 14953548897 and 14953548906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274320 + ... + 1286000.

It is an arithmetic number, because the mean of its divisors is an integer number (204107904).

Almost surely, 2^14953548960 is an apocalyptic number.

14953548960 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 14953548960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29391538176).

14953548960 is an abundant number, since it is smaller than the sum of its proper divisors (43829527392).

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

14953548960 is a wasteful number, since it uses less digits than its factorization.

14953548960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11836 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 14953548960 in words is "fourteen billion, nine hundred fifty-three million, five hundred forty-eight thousand, nine hundred sixty".