14657085135 has 256 divisors, whose sum is σ = 33640611840. Its totient is φ = 5927644800.

The previous prime is 14657085119. The next prime is 14657085161. The reversal of 14657085135 is 53158075641.

14657085135 is a `hidden beast` number, since 1 + 4 + 65 + 70 + 8 + 513 + 5 = 666.

It is not a de Polignac number, because 14657085135 - 2⁴ = 14657085119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54085050 + ... + 54085320.

It is an arithmetic number, because the mean of its divisors is an integer number (131408640).

Almost surely, 2^14657085135 is an apocalyptic number.

14657085135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14657085135 is an abundant number, since it is smaller than the sum of its proper divisors (18983526705).

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

14657085135 is a wasteful number, since it uses less digits than its factorization.

14657085135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 14657085135 in words is "fourteen billion, six hundred fifty-seven million, eighty-five thousand, one hundred thirty-five".