97786941457984 has 63 divisors (see below), whose sum is σ = 195606010985697. Its totient is φ = 48503498851584.

The previous prime is 97786941457867. The next prime is 97786941457987. The reversal of 97786941457984 is 48975414968779.

The square root of 97786941457984 is 9888728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 85199545729600 + 12587395728384 = 9230360^2 + 3547872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 97786941457895 and 97786941457904.

It is not an unprimeable number, because it can be changed into a prime (97786941457987) 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, 10046942782 + ... + 10046952514.

Almost surely, 2^{97786941457984} is an apocalyptic number.

97786941457984 is the 9888728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97786941457984

97786941457984 is an abundant number, since it is smaller than the sum of its proper divisors (97819069527713).

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

97786941457984 is an frugal number, since it uses more digits than its factorization.

97786941457984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19732 (or 9862 counting only the distinct ones).

The product of its digits is 30725775360, while the sum is 88.

The spelling of 97786941457984 in words is "ninety-seven trillion, seven hundred eighty-six billion, nine hundred forty-one million, four hundred fifty-seven thousand, nine hundred eighty-four".