13948791025 has 81 divisors (see below), whose sum is σ = 19830045249. Its totient is φ = 9728072640.

The previous prime is 13948791001. The next prime is 13948791029. The reversal of 13948791025 is 52019784931.

It is a happy number.

The square root of 13948791025 is 118105.

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 3595321521 + 10353469504 = 59961^2 + 101752^2 .

It is not a de Polignac number, because 13948791025 - 2⁷ = 13948790897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13948791025.

It is not an unprimeable number, because it can be changed into a prime (13948791029) 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, 176566936 + ... + 176567014.

Almost surely, 2^13948791025 is an apocalyptic number.

13948791025 is the 118105-th square number.

13948791025 is the 59053-rd centered octagonal number.

It is an amenable number.

13948791025 is a deficient number, since it is larger than the sum of its proper divisors (5881254224).

13948791025 is an equidigital number, since it uses as much as digits as its factorization.

13948791025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 13948791025 by its sum of digits (49), we get a square (683490760225 = 826735²).

The spelling of 13948791025 in words is "thirteen billion, nine hundred forty-eight million, seven hundred ninety-one thousand, twenty-five".