970815221888 has 72 divisors (see below), whose sum is σ = 1962547709895. Its totient is φ = 478356885504.

The previous prime is 970815221881. The next prime is 970815221947. The reversal of 970815221888 is 888122518079.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 564169236544 + 406645985344 = 751112^2 + 637688^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=696712.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (970815221881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 813759020 + ... + 813760212.

Almost surely, 2^970815221888 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 970815221888

970815221888 is an abundant number, since it is smaller than the sum of its proper divisors (991732488007).

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

970815221888 is an frugal number, since it uses more digits than its factorization.

970815221888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 59.

The spelling of 970815221888 in words is "nine hundred seventy billion, eight hundred fifteen million, two hundred twenty-one thousand, eight hundred eighty-eight".