13114830400 has 189 divisors, whose sum is σ = 37631369619. Its totient is φ = 4485519360.

The previous prime is 13114830397. The next prime is 13114830439. The reversal of 13114830400 is 403841131.

The square root of 13114830400 is 114520.

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 1506060864 + 11608769536 = 38808^2 + 107744^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32065396 + ... + 32065804.

Almost surely, 2^13114830400 is an apocalyptic number.

13114830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13114830400 is the 114520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114830400

13114830400 is an abundant number, since it is smaller than the sum of its proper divisors (24516539219).

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

13114830400 is an frugal number, since it uses more digits than its factorization.

13114830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Multiplying 13114830400 by its sum of digits (25), we get a square (327870760000 = 572600²).

13114830400 divided by its sum of digits (25) gives a square (524593216 = 22904²).

The spelling of 13114830400 in words is "thirteen billion, one hundred fourteen million, eight hundred thirty thousand, four hundred".