14972525568 has 704 divisors, whose sum is σ = 59645322240. Its totient is φ = 3583180800.

The previous prime is 14972525563. The next prime is 14972525593. The reversal of 14972525568 is 86552527941.

14972525568 is a `hidden beast` number, since 1 + 4 + 9 + 72 + 5 + 2 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14972525563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27675378 + ... + 27675918.

Almost surely, 2^14972525568 is an apocalyptic number.

14972525568 is a gapful number since it is divisible by the number (18) 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 14972525568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29822661120).

14972525568 is an abundant number, since it is smaller than the sum of its proper divisors (44672796672).

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

14972525568 is a wasteful number, since it uses less digits than its factorization.

14972525568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 577 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 14972525568 in words is "fourteen billion, nine hundred seventy-two million, five hundred twenty-five thousand, five hundred sixty-eight".