96392241841 has 27 divisors (see below), whose sum is σ = 119159283009. Its totient is φ = 77732003328.

The previous prime is 96392241823. The next prime is 96392241887. The reversal of 96392241841 is 14814229369.

It is a happy number.

The square root of 96392241841 is 310471.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7168162225 + 89224079616 = 84665^2 + 298704^2 .

It is not a de Polignac number, because 96392241841 - 2⁹ = 96392241329 is a prime.

It is a super-3 number, since 3×96392241841³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96392241821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36944745 + ... + 36947353.

Almost surely, 2^96392241841 is an apocalyptic number.

96392241841 is the 310471-st square number.

96392241841 is the 155236-th centered octagonal number.

It is an amenable number.

96392241841 is a deficient number, since it is larger than the sum of its proper divisors (22767041168).

96392241841 is an frugal number, since it uses more digits than its factorization.

96392241841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 2633 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

Multiplying 96392241841 by its sum of digits (49), we get a square (4723219850209 = 2173297²).

96392241841 divided by its sum of digits (49) gives a square (1967188609 = 44353²).

The spelling of 96392241841 in words is "ninety-six billion, three hundred ninety-two million, two hundred forty-one thousand, eight hundred forty-one".