13449956268096 has 784 divisors, whose sum is σ = 41889135391488. Its totient is φ = 4279313203200.

The previous prime is 13449956268019. The next prime is 13449956268101. The reversal of 13449956268096 is 69086265994431.

13449956268096 is a `hidden beast` number, since 1 + 3 + 4 + 499 + 56 + 2 + 6 + 80 + 9 + 6 = 666.

13449956268096 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 2×13449956268096² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 22681207576 + ... + 22681208168.

It is an arithmetic number, because the mean of its divisors is an integer number (53430019632).

Almost surely, 2^{13449956268096} is an apocalyptic number.

13449956268096 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 13449956268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20944567695744).

13449956268096 is an abundant number, since it is smaller than the sum of its proper divisors (28439179123392).

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

13449956268096 is an equidigital number, since it uses as much as digits as its factorization.

13449956268096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 13449956268096 in words is "thirteen trillion, four hundred forty-nine billion, nine hundred fifty-six million, two hundred sixty-eight thousand, ninety-six".