13656334346655 has 256 divisors, whose sum is σ = 29783462510592. Its totient is φ = 5159658240000.

The previous prime is 13656334346653. The next prime is 13656334346713. The reversal of 13656334346655 is 55664343365631.

It is not a de Polignac number, because 13656334346655 - 2¹ = 13656334346653 is a prime.

It is a super-3 number, since 3×13656334346655³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13656334346653) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 289630792 + ... + 289677938.

It is an arithmetic number, because the mean of its divisors is an integer number (116341650432).

Almost surely, 2^{13656334346655} is an apocalyptic number.

13656334346655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13656334346655 is an abundant number, since it is smaller than the sum of its proper divisors (16127128163937).

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

13656334346655 is a wasteful number, since it uses less digits than its factorization.

13656334346655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47478.

The product of its digits is 209952000, while the sum is 60.

The spelling of 13656334346655 in words is "thirteen trillion, six hundred fifty-six billion, three hundred thirty-four million, three hundred forty-six thousand, six hundred fifty-five".