14678629056 has 896 divisors, whose sum is σ = 59399424000. Its totient is φ = 3451797504.

The previous prime is 14678629027. The next prime is 14678629109. The reversal of 14678629056 is 65092687641.

14678629056 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 8 + 629 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×14678629056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 14678629056 = 204³ + 2448³ = 1836³ + 2040³.

It is a junction number, because it is equal to n+sod(n) for n = 14678628993 and 14678629011.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 772559415 + ... + 772559433.

It is an arithmetic number, because the mean of its divisors is an integer number (66294000).

Almost surely, 2^14678629056 is an apocalyptic number.

14678629056 is a gapful number since it is divisible by the number (16) 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 14678629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29699712000).

14678629056 is an abundant number, since it is smaller than the sum of its proper divisors (44720794944).

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

14678629056 is a wasteful number, since it uses less digits than its factorization.

14678629056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 14678629056 in words is "fourteen billion, six hundred seventy-eight million, six hundred twenty-nine thousand, fifty-six".