13695298912656 has 135 divisors (see below), whose sum is σ = 38995910754411. Its totient is φ = 4486866501312.

The previous prime is 13695298912643. The next prime is 13695298912661. The reversal of 13695298912656 is 65621989259631.

The square root of 13695298912656 is 3700716.

It is a perfect power (a square), and thus also a powerful number.

13695298912656 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 529 + 8 + 91 + 2 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×13695298912656² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2620104315 + ... + 2620109541.

Almost surely, 2^{13695298912656} is an apocalyptic number.

13695298912656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13695298912656 is the 3700716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13695298912656

13695298912656 is an abundant number, since it is smaller than the sum of its proper divisors (25300611841755).

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

13695298912656 is an frugal number, since it uses more digits than its factorization.

13695298912656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586 (or 5291 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 72.

The spelling of 13695298912656 in words is "thirteen trillion, six hundred ninety-five billion, two hundred ninety-eight million, nine hundred twelve thousand, six hundred fifty-six".