13422874189824 has 672 divisors, whose sum is σ = 43902308862720. Its totient is φ = 4049946869760.

The previous prime is 13422874189793. The next prime is 13422874189841. The reversal of 13422874189824 is 42898147822431.

13422874189824 is a `hidden beast` number, since 1 + 3 + 422 + 8 + 7 + 4 + 189 + 8 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7038737479 + ... + 7038739385.

It is an arithmetic number, because the mean of its divisors is an integer number (65330816760).

Almost surely, 2^{13422874189824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13422874189824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21951154431360).

13422874189824 is an abundant number, since it is smaller than the sum of its proper divisors (30479434672896).

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

13422874189824 is a wasteful number, since it uses less digits than its factorization.

13422874189824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2186 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 13422874189824 in words is "thirteen trillion, four hundred twenty-two billion, eight hundred seventy-four million, one hundred eighty-nine thousand, eight hundred twenty-four".