972968772048 has 480 divisors, whose sum is σ = 3264822288000. Its totient is φ = 247191662592.

The previous prime is 972968772031. The next prime is 972968772049. The reversal of 972968772048 is 840277869279.

It is a super-2 number, since 2×972968772048² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972968772049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499213378 + ... + 499215326.

It is an arithmetic number, because the mean of its divisors is an integer number (6801713100).

Almost surely, 2^972968772048 is an apocalyptic number.

972968772048 is a gapful number since it is divisible by the number (98) 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 972968772048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632411144000).

972968772048 is an abundant number, since it is smaller than the sum of its proper divisors (2291853515952).

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

972968772048 is a wasteful number, since it uses less digits than its factorization.

972968772048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 972968772048 in words is "nine hundred seventy-two billion, nine hundred sixty-eight million, seven hundred seventy-two thousand, forty-eight".