13714742496 has 480 divisors, whose sum is σ = 47433254400. Its totient is φ = 3442424832.

The previous prime is 13714742479. The next prime is 13714742497. The reversal of 13714742496 is 69424741731.

13714742496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13714742497) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 68918205 + ... + 68918403.

It is an arithmetic number, because the mean of its divisors is an integer number (98819280).

Almost surely, 2^13714742496 is an apocalyptic number.

13714742496 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 13714742496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716627200).

13714742496 is an abundant number, since it is smaller than the sum of its proper divisors (33718511904).

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

13714742496 is a wasteful number, since it uses less digits than its factorization.

13714742496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 13714742496 in words is "thirteen billion, seven hundred fourteen million, seven hundred forty-two thousand, four hundred ninety-six".