13321641456 has 160 divisors (see below), whose sum is σ = 42618700800. Its totient is φ = 3959331840.

The previous prime is 13321641407. The next prime is 13321641479. The reversal of 13321641456 is 65414612331.

13321641456 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 641 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×13321641456² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13321641456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91801 + ... + 187271.

It is an arithmetic number, because the mean of its divisors is an integer number (266366880).

Almost surely, 2^13321641456 is an apocalyptic number.

13321641456 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 13321641456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21309350400).

13321641456 is an abundant number, since it is smaller than the sum of its proper divisors (29297059344).

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

13321641456 is a wasteful number, since it uses less digits than its factorization.

13321641456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95524 (or 95512 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 13321641456 in words is "thirteen billion, three hundred twenty-one million, six hundred forty-one thousand, four hundred fifty-six".