13227290496 has 384 divisors, whose sum is σ = 47814336000. Its totient is φ = 3579448320.

The previous prime is 13227290491. The next prime is 13227290497. The reversal of 13227290496 is 69409272231.

13227290496 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 72 + 90 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13227290496² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13227290491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3215481 + ... + 3219591.

It is an arithmetic number, because the mean of its divisors is an integer number (124516500).

Almost surely, 2^13227290496 is an apocalyptic number.

13227290496 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 13227290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23907168000).

13227290496 is an abundant number, since it is smaller than the sum of its proper divisors (34587045504).

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

13227290496 is a wasteful number, since it uses less digits than its factorization.

13227290496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13227290496 in words is "thirteen billion, two hundred twenty-seven million, two hundred ninety thousand, four hundred ninety-six".