96645130884 has 243 divisors, whose sum is σ = 270411991941. Its totient is φ = 30217341600.

The previous prime is 96645130817. The next prime is 96645130889. The reversal of 96645130884 is 48803154669.

The square root of 96645130884 is 310878.

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., 92855497284 + 3789633600 = 304722^2 + 61560^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 96645130884.

It is not an unprimeable number, because it can be changed into a prime (96645130889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 956882434 + ... + 956882534.

Almost surely, 2^96645130884 is an apocalyptic number.

96645130884 is the 310878-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96645130884

96645130884 is an abundant number, since it is smaller than the sum of its proper divisors (173766861057).

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

96645130884 is an equidigital number, since it uses as much as digits as its factorization.

96645130884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

It can be divided in two parts, 96645 and 130884, that added together give a square (227529 = 477²).

The spelling of 96645130884 in words is "ninety-six billion, six hundred forty-five million, one hundred thirty thousand, eight hundred eighty-four".