13378392225 has 81 divisors (see below), whose sum is σ = 26376228697. Its totient is φ = 6477240000.

The previous prime is 13378392191. The next prime is 13378392227. The reversal of 13378392225 is 52229387331.

The square root of 13378392225 is 115665.

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

13378392225 is a `hidden beast` number, since 1 + 3 + 37 + 8 + 392 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 907756641 + 12470635584 = 30129^2 + 111672^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13378392225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (544320) is a multiple of the sum of its prime divisors (720).

It is not an unprimeable number, because it can be changed into a prime (13378392227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19084375 + ... + 19085075.

Almost surely, 2^13378392225 is an apocalyptic number.

13378392225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13378392225 is the 115665-th square number.

13378392225 is the 57833-rd centered octagonal number.

It is an amenable number.

13378392225 is a deficient number, since it is larger than the sum of its proper divisors (12997836472).

13378392225 is an equidigital number, since it uses as much as digits as its factorization.

13378392225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 720 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 13378392225 in words is "thirteen billion, three hundred seventy-eight million, three hundred ninety-two thousand, two hundred twenty-five".