972218519328 has 72 divisors (see below), whose sum is σ = 2968738707312. Its totient is φ = 277776718464.

The previous prime is 972218519287. The next prime is 972218519329. The reversal of 972218519328 is 823915812279.

972218519328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (972218519329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103334850 + ... + 103344257.

It is an arithmetic number, because the mean of its divisors is an integer number (41232482046).

Almost surely, 2^972218519328 is an apocalyptic number.

972218519328 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

972218519328 is an abundant number, since it is smaller than the sum of its proper divisors (1996520187984).

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

972218519328 is a wasteful number, since it uses less digits than its factorization.

972218519328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206679134 (or 206679119 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 57.

The spelling of 972218519328 in words is "nine hundred seventy-two billion, two hundred eighteen million, five hundred nineteen thousand, three hundred twenty-eight".