13844722231872 has 672 divisors, whose sum is σ = 47761202391552. Its totient is φ = 3748832575488.

The previous prime is 13844722231861. The next prime is 13844722231913. The reversal of 13844722231872 is 27813222744831.

13844722231872 is a `hidden beast` number, since 1 + 3 + 84 + 472 + 2 + 23 + 1 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12666716958 + ... + 12666718050.

Almost surely, 2^{13844722231872} is an apocalyptic number.

13844722231872 is a gapful number since it is divisible by the number (12) 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 13844722231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23880601195776).

13844722231872 is an abundant number, since it is smaller than the sum of its proper divisors (33916480159680).

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

13844722231872 is a wasteful number, since it uses less digits than its factorization.

13844722231872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2262 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 13844722231872 in words is "thirteen trillion, eight hundred forty-four billion, seven hundred twenty-two million, two hundred thirty-one thousand, eight hundred seventy-two".