13789804900 has 27 divisors (see below), whose sum is σ = 29926425081. Its totient is φ = 5515452240.

The previous prime is 13789804883. The next prime is 13789804909. The reversal of 13789804900 is 940898731.

It is a happy number.

The square root of 13789804900 is 117430.

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., 4964329764 + 8825475136 = 70458^2 + 93944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13789804909) 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, 1168429 + ... + 1180171.

Almost surely, 2^13789804900 is an apocalyptic number.

13789804900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13789804900 is the 117430-th square number.

It is an amenable number.

13789804900 is an abundant number, since it is smaller than the sum of its proper divisors (16136620181).

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

13789804900 is an frugal number, since it uses more digits than its factorization.

13789804900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23500 (or 11750 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 13789804900 by its sum of digits (49), we get a square (675700440100 = 822010²).

The spelling of 13789804900 in words is "thirteen billion, seven hundred eighty-nine million, eight hundred four thousand, nine hundred".