972648559872 has 180 divisors, whose sum is σ = 3163922938176. Its totient is φ = 294741918720.

The previous prime is 972648559793. The next prime is 972648559891. The reversal of 972648559872 is 278955846279.

972648559872 is a `hidden beast` number, since 9 + 7 + 2 + 64 + 8 + 559 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 972648559872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1904008 + ... + 2360199.

Almost surely, 2^972648559872 is an apocalyptic number.

It is an amenable number.

972648559872 is an abundant number, since it is smaller than the sum of its proper divisors (2191274378304).

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

972648559872 is a wasteful number, since it uses less digits than its factorization.

972648559872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264246 (or 4264223 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 972648559872 in words is "nine hundred seventy-two billion, six hundred forty-eight million, five hundred fifty-nine thousand, eight hundred seventy-two".