972261503424 has 112 divisors (see below), whose sum is σ = 2950471152640. Its totient is φ = 313632725760.

The previous prime is 972261503401. The next prime is 972261503429. The reversal of 972261503424 is 424305162279.

972261503424 is a `hidden beast` number, since 9 + 7 + 2 + 2 + 615 + 0 + 3 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 972261503424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972261503429) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9021454 + ... + 9128589.

Almost surely, 2^972261503424 is an apocalyptic number.

It is an amenable number.

972261503424 is an abundant number, since it is smaller than the sum of its proper divisors (1978209649216).

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

972261503424 is a wasteful number, since it uses less digits than its factorization.

972261503424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18150095 (or 18150079 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 972261503424 in words is "nine hundred seventy-two billion, two hundred sixty-one million, five hundred three thousand, four hundred twenty-four".