99112262041 has 27 divisors (see below), whose sum is σ = 109386508023. Its totient is φ = 89761763520.

The previous prime is 99112261999. The next prime is 99112262107. The reversal of 99112262041 is 14026221199.

99112262041 = 1³ + 2³ + ... + 793³.

The square root of 99112262041 is 314821.

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

It can be written as a sum of positive squares in 13 ways, for example, as 98986373641 + 125888400 = 314621^2 + 11220^2 .

It is not a de Polignac number, because 99112262041 - 2¹¹ = 99112259993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99112262741) 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, 249652855 + ... + 249653251.

It is an arithmetic number, because the mean of its divisors is an integer number (4051352149).

Almost surely, 2^99112262041 is an apocalyptic number.

99112262041 is the 314821-st square number.

99112262041 is the 157411-st centered octagonal number.

It is an amenable number.

99112262041 is a deficient number, since it is larger than the sum of its proper divisors (10274245982).

99112262041 is an frugal number, since it uses more digits than its factorization.

99112262041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 99112262041 in words is "ninety-nine billion, one hundred twelve million, two hundred sixty-two thousand, forty-one".