13822331496480 has 144 divisors (see below), whose sum is σ = 50797068318360. Its totient is φ = 3402420056064.

The previous prime is 13822331496461. The next prime is 13822331496481. The reversal of 13822331496480 is 8469413322831.

13822331496480 is a `hidden beast` number, since 1 + 3 + 82 + 2 + 3 + 31 + 496 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9148277750544 + 4674053745936 = 3024612^2 + 2161956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13822331496481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369167485 + ... + 369204924.

Almost surely, 2^{13822331496480} is an apocalyptic number.

13822331496480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13822331496480 is an abundant number, since it is smaller than the sum of its proper divisors (36974736821880).

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

13822331496480 is a wasteful number, since it uses less digits than its factorization.

13822331496480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738372443 (or 738372432 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 13822331496480 in words is "thirteen trillion, eight hundred twenty-two billion, three hundred thirty-one million, four hundred ninety-six thousand, four hundred eighty".