13671319725 has 168 divisors, whose sum is σ = 29654401600. Its totient is φ = 6249746160.

The previous prime is 13671319687. The next prime is 13671319733. The reversal of 13671319725 is 52791317631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 13671319725 - 2⁹ = 13671319213 is a prime.

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

Its product of digits (238140) is a multiple of the sum of its prime divisors (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1953045672 + ... + 1953045678.

Almost surely, 2^13671319725 is an apocalyptic number.

13671319725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13671319725 is an abundant number, since it is smaller than the sum of its proper divisors (15983081875).

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

13671319725 is an frugal number, since it uses more digits than its factorization.

13671319725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 15 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

Multiplying 13671319725 by its sum of digits (45), we get a cube (615209387625 = 8505³).

The spelling of 13671319725 in words is "thirteen billion, six hundred seventy-one million, three hundred nineteen thousand, seven hundred twenty-five".