13439764900 has 27 divisors (see below), whose sum is σ = 29166805731. Its totient is φ = 5375442240.

The previous prime is 13439764867. The next prime is 13439764903. The reversal of 13439764900 is 946793431.

The square root of 13439764900 is 115930.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2235965796 + 11203799104 = 47286^2 + 105848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13439764903) 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, 1153504 + ... + 1165096.

Almost surely, 2^13439764900 is an apocalyptic number.

13439764900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13439764900 is the 115930-th square number.

It is an amenable number.

13439764900 is an abundant number, since it is smaller than the sum of its proper divisors (15727040831).

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

13439764900 is an frugal number, since it uses more digits than its factorization.

13439764900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23200 (or 11600 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 13439764900 in words is "thirteen billion, four hundred thirty-nine million, seven hundred sixty-four thousand, nine hundred".