13712922144 has 72 divisors (see below), whose sum is σ = 39051705420. Its totient is φ = 4564459008.

The previous prime is 13712922133. The next prime is 13712922151. The reversal of 13712922144 is 44122921731.

13712922144 is a `hidden beast` number, since 1 + 371 + 29 + 221 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10465290000 + 3247632144 = 102300^2 + 56988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 13712922099 and 13712922108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170614 + ... + 237770.

Almost surely, 2^13712922144 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 13712922144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19525852710).

13712922144 is an abundant number, since it is smaller than the sum of its proper divisors (25338783276).

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

13712922144 is a wasteful number, since it uses less digits than its factorization.

13712922144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67882 (or 67871 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 13712922144 in words is "thirteen billion, seven hundred twelve million, nine hundred twenty-two thousand, one hundred forty-four".