13652064316900 has 27 divisors (see below), whose sum is σ = 29625059746569. Its totient is φ = 5460810947280.

The previous prime is 13652064316837. The next prime is 13652064316927. The reversal of 13652064316900 is 961346025631.

The square root of 13652064316900 is 3694870.

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., 4914743154084 + 8737321162816 = 2216922^2 + 2955896^2 .

It is a super-3 number, since 3×13652064316900³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36763957 + ... + 37133443.

Almost surely, 2^{13652064316900} is an apocalyptic number.

13652064316900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13652064316900 is the 3694870-th square number.

It is an amenable number.

13652064316900 is an abundant number, since it is smaller than the sum of its proper divisors (15972995429669).

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

13652064316900 is an frugal number, since it uses more digits than its factorization.

13652064316900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738988 (or 369494 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 13652064316900 in words is "thirteen trillion, six hundred fifty-two billion, sixty-four million, three hundred sixteen thousand, nine hundred".