14688816912 has 320 divisors, whose sum is σ = 54382233600. Its totient is φ = 3683473920.

The previous prime is 14688816881. The next prime is 14688816937. The reversal of 14688816912 is 21961888641.

It is a happy number.

14688816912 is a `hidden beast` number, since 1 + 468 + 8 + 8 + 169 + 12 = 666.

It is a super-2 number, since 2×14688816912² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a nude number because it is divisible by every one of its digits.

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, 957043 + ... + 972269.

It is an arithmetic number, because the mean of its divisors is an integer number (169944480).

Almost surely, 2^14688816912 is an apocalyptic number.

14688816912 is a gapful number since it is divisible by the number (12) 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 14688816912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27191116800).

14688816912 is an abundant number, since it is smaller than the sum of its proper divisors (39693416688).

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

14688816912 is a wasteful number, since it uses less digits than its factorization.

14688816912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15291 (or 15279 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 14688816912 in words is "fourteen billion, six hundred eighty-eight million, eight hundred sixteen thousand, nine hundred twelve".