96402798144 has 189 divisors, whose sum is σ = 293917757731. Its totient is φ = 30204272640.

The previous prime is 96402798131. The next prime is 96402798157. The reversal of 96402798144 is 44189720469.

The square root of 96402798144 is 310488.

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

96402798144 is a `hidden beast` number, since 9 + 6 + 402 + 7 + 98 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (96402798131) and next prime (96402798157).

It can be written as a sum of positive squares in 4 ways, for example, as 17392334400 + 79010463744 = 131880^2 + 281088^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 126678724 + ... + 126679484.

Almost surely, 2^96402798144 is an apocalyptic number.

96402798144 is the 310488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96402798144

96402798144 is an abundant number, since it is smaller than the sum of its proper divisors (197514959587).

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

96402798144 is an equidigital number, since it uses as much as digits as its factorization.

96402798144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 96402798144 in words is "ninety-six billion, four hundred two million, seven hundred ninety-eight thousand, one hundred forty-four".