13175366656 has 99 divisors (see below), whose sum is σ = 28111514457. Its totient is φ = 6170787840.

The previous prime is 13175366651. The next prime is 13175366663. The reversal of 13175366656 is 65666357131.

It is a happy number.

The square root of 13175366656 is 114784.

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., 10257638400 + 2917728256 = 101280^2 + 54016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13175366651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62442391 + ... + 62442601.

Almost surely, 2^13175366656 is an apocalyptic number.

13175366656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13175366656 is the 114784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13175366656

13175366656 is an abundant number, since it is smaller than the sum of its proper divisors (14936147801).

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

13175366656 is an frugal number, since it uses more digits than its factorization.

13175366656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 230 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 49.

Multiplying 13175366656 by its sum of digits (49), we get a square (645592966144 = 803488²).

The spelling of 13175366656 in words is "thirteen billion, one hundred seventy-five million, three hundred sixty-six thousand, six hundred fifty-six".