96648861456 has 135 divisors (see below), whose sum is σ = 314728037013. Its totient is φ = 27606499200.

The previous prime is 96648861451. The next prime is 96648861481. The reversal of 96648861456 is 65416884669.

The square root of 96648861456 is 310884.

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

96648861456 is a `hidden beast` number, since 9 + 6 + 6 + 4 + 8 + 8 + 614 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38933603856 + 57715257600 = 197316^2 + 240240^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 96648861393 and 96648861402.

It is not an unprimeable number, because it can be changed into a prime (96648861451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26112406 + ... + 26116106.

Almost surely, 2^96648861456 is an apocalyptic number.

96648861456 is the 310884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96648861456

96648861456 is an abundant number, since it is smaller than the sum of its proper divisors (218079175557).

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

96648861456 is an equidigital number, since it uses as much as digits as its factorization.

96648861456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430 (or 3713 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 96648861456 in words is "ninety-six billion, six hundred forty-eight million, eight hundred sixty-one thousand, four hundred fifty-six".