99744314761 has 128 divisors (see below), whose sum is σ = 138327146496. Its totient is φ = 69707796480.

The previous prime is 99744314749. The next prime is 99744314807. The reversal of 99744314761 is 16741344799.

99744314761 is a nontrivial binomial coefficient, being equal to C(446642, 2).

It is not a de Polignac number, because 99744314761 - 2²³ = 99735926153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99744314561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190715446 + ... + 190715968.

It is an arithmetic number, because the mean of its divisors is an integer number (1080680832).

Almost surely, 2^99744314761 is an apocalyptic number.

99744314761 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

99744314761 is the 446641-st triangular number and also the 223321-st hexagonal number.

99744314761 is the 148881-st centered nonagonal number.

It is an amenable number.

99744314761 is a deficient number, since it is larger than the sum of its proper divisors (38582831735).

99744314761 is a wasteful number, since it uses less digits than its factorization.

99744314761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711.

The product of its digits is 4572288, while the sum is 55.

It can be divided in two parts, 99744 and 314761, that added together give a triangular number (414505 = T₉₁₀).

The spelling of 99744314761 in words is "ninety-nine billion, seven hundred forty-four million, three hundred fourteen thousand, seven hundred sixty-one".