13972248576 has 960 divisors, whose sum is σ = 53275622400. Its totient is φ = 3583180800.

The previous prime is 13972248571. The next prime is 13972248583. The reversal of 13972248576 is 67584227931.

It is a happy number.

13972248576 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 22 + 48 + 576 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5080320) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972248571) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 450717681 + ... + 450717711.

It is an arithmetic number, because the mean of its divisors is an integer number (55495440).

Almost surely, 2^13972248576 is an apocalyptic number.

13972248576 is a gapful number since it is divisible by the number (16) 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 13972248576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26637811200).

13972248576 is an abundant number, since it is smaller than the sum of its proper divisors (39303373824).

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

13972248576 is a wasteful number, since it uses less digits than its factorization.

13972248576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 13972248576 in words is "thirteen billion, nine hundred seventy-two million, two hundred forty-eight thousand, five hundred seventy-six".