96801254641 has 45 divisors (see below), whose sum is σ = 122454607821. Its totient is φ = 76298786928.

The previous prime is 96801254617. The next prime is 96801254707. The reversal of 96801254641 is 14645210869.

It is a happy number.

The square root of 96801254641 is 311129.

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

It can be written as a sum of positive squares in 2 ways, for example, as 47995608241 + 48805646400 = 219079^2 + 220920^2 .

It is not a de Polignac number, because 96801254641 - 2¹⁵ = 96801221873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 96801254591 and 96801254600.

It is not an unprimeable number, because it can be changed into a prime (96801254141) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 368065476 + ... + 368065738.

Almost surely, 2^96801254641 is an apocalyptic number.

96801254641 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

96801254641 is the 311129-th square number.

96801254641 is the 155565-th centered octagonal number.

It is an amenable number.

96801254641 is a deficient number, since it is larger than the sum of its proper divisors (25653353180).

96801254641 is an frugal number, since it uses more digits than its factorization.

96801254641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 96801254641 in words is "ninety-six billion, eight hundred one million, two hundred fifty-four thousand, six hundred forty-one".