13723313625 has 240 divisors, whose sum is σ = 30126096000. Its totient is φ = 6197083200.

The previous prime is 13723313623. The next prime is 13723313633. The reversal of 13723313625 is 52631332731.

13723313625 is a `hidden beast` number, since 1 + 3 + 7 + 23 + 3 + 1 + 3 + 625 = 666.

It is not a de Polignac number, because 13723313625 - 2¹ = 13723313623 is a prime.

It is a super-2 number, since 2×13723313625² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13723313625.

It is not an unprimeable number, because it can be changed into a prime (13723313623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 68961276 + ... + 68961474.

It is an arithmetic number, because the mean of its divisors is an integer number (125525400).

Almost surely, 2^13723313625 is an apocalyptic number.

13723313625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13723313625 is an abundant number, since it is smaller than the sum of its proper divisors (16402782375).

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

13723313625 is a wasteful number, since it uses less digits than its factorization.

13723313625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The spelling of 13723313625 in words is "thirteen billion, seven hundred twenty-three million, three hundred thirteen thousand, six hundred twenty-five".