13722770496 has 112 divisors (see below), whose sum is σ = 37755210240. Its totient is φ = 4394127360.

The previous prime is 13722770491. The next prime is 13722770513. The reversal of 13722770496 is 69407722731.

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

It is not an unprimeable number, because it can be changed into a prime (13722770491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807010 + ... + 823838.

Almost surely, 2^13722770496 is an apocalyptic number.

13722770496 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 13722770496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18877605120).

13722770496 is an abundant number, since it is smaller than the sum of its proper divisors (24032439744).

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

13722770496 is a wasteful number, since it uses less digits than its factorization.

13722770496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17012 (or 17002 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 13722770496 in words is "thirteen billion, seven hundred twenty-two million, seven hundred seventy thousand, four hundred ninety-six".