13768675600 has 45 divisors (see below), whose sum is σ = 33084882277. Its totient is φ = 5506531520.

The previous prime is 13768675567. The next prime is 13768675643. The reversal of 13768675600 is 657686731.

The square root of 13768675600 is 117340.

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., 4956723216 + 8811952384 = 70404^2 + 93872^2 .

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, 2343867 + ... + 2349733.

Almost surely, 2^13768675600 is an apocalyptic number.

13768675600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13768675600 is the 117340-th square number.

It is an amenable number.

13768675600 is an abundant number, since it is smaller than the sum of its proper divisors (19316206677).

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

13768675600 is an frugal number, since it uses more digits than its factorization.

13768675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11752 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 13768675600 by its sum of digits (49), we get a square (674665104400 = 821380²).

The spelling of 13768675600 in words is "thirteen billion, seven hundred sixty-eight million, six hundred seventy-five thousand, six hundred".