972396167712 has 192 divisors, whose sum is σ = 2640633488640. Its totient is φ = 313144832000.

The previous prime is 972396167669. The next prime is 972396167723. The reversal of 972396167712 is 217761693279.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469982614 + ... + 469984682.

It is an arithmetic number, because the mean of its divisors is an integer number (13753299420).

Almost surely, 2^972396167712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972396167712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320316744320).

972396167712 is an abundant number, since it is smaller than the sum of its proper divisors (1668237320928).

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

972396167712 is a wasteful number, since it uses less digits than its factorization.

972396167712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3499 counting only the distinct ones).

The product of its digits is 12002256, while the sum is 60.

The spelling of 972396167712 in words is "nine hundred seventy-two billion, three hundred ninety-six million, one hundred sixty-seven thousand, seven hundred twelve".