13320745219264 has 224 divisors, whose sum is σ = 32551680245760. Its totient is φ = 5278971543552.

The previous prime is 13320745219261. The next prime is 13320745219277. The reversal of 13320745219264 is 46291254702331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×13320745219264² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13320745219261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99558042 + ... + 99691750.

Almost surely, 2^{13320745219264} is an apocalyptic number.

13320745219264 is a gapful number since it is divisible by the number (14) 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 13320745219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275840122880).

13320745219264 is an abundant number, since it is smaller than the sum of its proper divisors (19230935026496).

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

13320745219264 is a wasteful number, since it uses less digits than its factorization.

13320745219264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133975 (or 133965 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 13320745219264 in words is "thirteen trillion, three hundred twenty billion, seven hundred forty-five million, two hundred nineteen thousand, two hundred sixty-four".