13997324544 has 288 divisors, whose sum is σ = 47046666240. Its totient is φ = 3599794176.

The previous prime is 13997324533. The next prime is 13997324563. The reversal of 13997324544 is 44542379931.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2098687 + ... + 2105345.

It is an arithmetic number, because the mean of its divisors is an integer number (163356480).

Almost surely, 2^13997324544 is an apocalyptic number.

13997324544 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 13997324544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23523333120).

13997324544 is an abundant number, since it is smaller than the sum of its proper divisors (33049341696).

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

13997324544 is a wasteful number, since it uses less digits than its factorization.

13997324544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6711 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The spelling of 13997324544 in words is "thirteen billion, nine hundred ninety-seven million, three hundred twenty-four thousand, five hundred forty-four".