13937491456 has 80 divisors (see below), whose sum is σ = 32602600800. Its totient is φ = 5827461120.

The previous prime is 13937491433. The next prime is 13937491457. The reversal of 13937491456 is 65419473931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13937491457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99520 + ... + 194368.

It is an arithmetic number, because the mean of its divisors is an integer number (407532510).

Almost surely, 2^13937491456 is an apocalyptic number.

13937491456 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 13937491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16301300400).

13937491456 is an abundant number, since it is smaller than the sum of its proper divisors (18665109344).

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

13937491456 is an frugal number, since it uses more digits than its factorization.

13937491456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94915 (or 94899 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 52.

The spelling of 13937491456 in words is "thirteen billion, nine hundred thirty-seven million, four hundred ninety-one thousand, four hundred fifty-six".