14008135680 has 1248 divisors, whose sum is σ = 64542458880. Its totient is φ = 2848849920.

The previous prime is 14008135663. The next prime is 14008135721. The reversal of 14008135680 is 8653180041.

14008135680 is a `hidden beast` number, since 14 + 0 + 0 + 81 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298045417 + ... + 298045463.

Almost surely, 2^14008135680 is an apocalyptic number.

14008135680 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 14008135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32271229440).

14008135680 is an abundant number, since it is smaller than the sum of its proper divisors (50534323200).

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

14008135680 is a wasteful number, since it uses less digits than its factorization.

14008135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14008135680 in words is "fourteen billion, eight million, one hundred thirty-five thousand, six hundred eighty".