13645977856 has 135 divisors (see below), whose sum is σ = 31991232161. Its totient is φ = 5809026048.

The previous prime is 13645977853. The next prime is 13645977871. The reversal of 13645977856 is 65877954631.

It is a happy number.

The square root of 13645977856 is 116816.

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

It can be written as a sum of positive squares in only one way, i.e., 1598720256 + 12047257600 = 39984^2 + 109760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13645977794 and 13645977803.

It is not an unprimeable number, because it can be changed into a prime (13645977853) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 91583670 + ... + 91583818.

Almost surely, 2^13645977856 is an apocalyptic number.

13645977856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13645977856 is the 116816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13645977856

13645977856 is an abundant number, since it is smaller than the sum of its proper divisors (18345254305).

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

13645977856 is an frugal number, since it uses more digits than its factorization.

13645977856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 158 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 61.

The spelling of 13645977856 in words is "thirteen billion, six hundred forty-five million, nine hundred seventy-seven thousand, eight hundred fifty-six".