13715871696 has 320 divisors, whose sum is σ = 43309728000. Its totient is φ = 4140564480.

The previous prime is 13715871671. The next prime is 13715871703. The reversal of 13715871696 is 69617851731.

13715871696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13715871696² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17835600 + ... + 17836368.

It is an arithmetic number, because the mean of its divisors is an integer number (135342900).

Almost surely, 2^13715871696 is an apocalyptic number.

13715871696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13715871696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654864000).

13715871696 is an abundant number, since it is smaller than the sum of its proper divisors (29593856304).

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

13715871696 is a wasteful number, since it uses less digits than its factorization.

13715871696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 13715871696 in words is "thirteen billion, seven hundred fifteen million, eight hundred seventy-one thousand, six hundred ninety-six".