972898622208 has 576 divisors, whose sum is σ = 3182007628800. Its totient is φ = 292141301760.

The previous prime is 972898622203. The next prime is 972898622221. The reversal of 972898622208 is 802226898279.

972898622208 is a `hidden beast` number, since 97 + 289 + 8 + 62 + 2 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (972898622203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189019891 + ... + 189025037.

It is an arithmetic number, because the mean of its divisors is an integer number (5524318800).

Almost surely, 2^972898622208 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 972898622208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591003814400).

972898622208 is an abundant number, since it is smaller than the sum of its proper divisors (2209109006592).

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

972898622208 is a wasteful number, since it uses less digits than its factorization.

972898622208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 972898622208 in words is "nine hundred seventy-two billion, eight hundred ninety-eight million, six hundred twenty-two thousand, two hundred eight".