14479788960 has 384 divisors, whose sum is σ = 62376168960. Its totient is φ = 3054993408.

The previous prime is 14479788959. The next prime is 14479788979. The reversal of 14479788960 is 6988797441.

14479788960 is a `hidden beast` number, since 1 + 4 + 479 + 78 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×14479788960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374704 + ... + 411536.

It is an arithmetic number, because the mean of its divisors is an integer number (162437940).

Almost surely, 2^14479788960 is an apocalyptic number.

14479788960 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 14479788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31188084480).

14479788960 is an abundant number, since it is smaller than the sum of its proper divisors (47896380000).

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

14479788960 is a wasteful number, since it uses less digits than its factorization.

14479788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36877 (or 36863 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 14479788960 in words is "fourteen billion, four hundred seventy-nine million, seven hundred eighty-eight thousand, nine hundred sixty".