99945954999 has 80 divisors (see below), whose sum is σ = 176082065280. Its totient is φ = 55833935040.

The previous prime is 99945954971. The next prime is 99945955027.

It is a happy number.

99945954999 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (99945954971) and next prime (99945955027).

It is not a de Polignac number, because 99945954999 - 2¹⁷ = 99945823927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99945950999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 546592 + ... + 706154.

It is an arithmetic number, because the mean of its divisors is an integer number (2201025816).

Almost surely, 2^99945954999 is an apocalyptic number.

99945954999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99945954999 is a deficient number, since it is larger than the sum of its proper divisors (76136110281).

99945954999 is a wasteful number, since it uses less digits than its factorization.

99945954999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159642 (or 159633 counting only the distinct ones).

The product of its digits is 1913187600, while the sum is 81.

The spelling of 99945954999 in words is "ninety-nine billion, nine hundred forty-five million, nine hundred fifty-four thousand, nine hundred ninety-nine".