972138056416 has 24 divisors (see below), whose sum is σ = 2014628210280. Its totient is φ = 460486447488.

The previous prime is 972138056369. The next prime is 972138056419. The reversal of 972138056416 is 614650831279.

972138056416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972138056419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 799455031 + ... + 799456246.

It is an arithmetic number, because the mean of its divisors is an integer number (83942842095).

It is a 1-persistent number, because it is pandigital, but 2⋅972138056416 = 1944276112832 is not.

Almost surely, 2^972138056416 is an apocalyptic number.

It is an amenable number.

972138056416 is an abundant number, since it is smaller than the sum of its proper divisors (1042490153864).

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

972138056416 is a wasteful number, since it uses less digits than its factorization.

972138056416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598911306 (or 1598911298 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 972138056416 in words is "nine hundred seventy-two billion, one hundred thirty-eight million, fifty-six thousand, four hundred sixteen".