13996854144 has 768 divisors, whose sum is σ = 52751462400. Its totient is φ = 3463741440.

The previous prime is 13996854143. The next prime is 13996854181. The reversal of 13996854144 is 44145869931.

13996854144 is a `hidden beast` number, since 1 + 3 + 9 + 96 + 8 + 541 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13996854143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191737692 + ... + 191737764.

It is an arithmetic number, because the mean of its divisors is an integer number (68686800).

Almost surely, 2^13996854144 is an apocalyptic number.

13996854144 is a gapful number since it is divisible by the number (14) 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 13996854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26375731200).

13996854144 is an abundant number, since it is smaller than the sum of its proper divisors (38754608256).

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

13996854144 is a wasteful number, since it uses less digits than its factorization.

13996854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 13996854144 in words is "thirteen billion, nine hundred ninety-six million, eight hundred fifty-four thousand, one hundred forty-four".