99614963502144 has 1008 divisors, whose sum is σ = 316557504454464. Its totient is φ = 31040453283840.

The previous prime is 99614963502083. The next prime is 99614963502217. The reversal of 99614963502144 is 44120536941699.

99614963502144 is a `hidden beast` number, since 9 + 9 + 61 + 4 + 9 + 6 + 350 + 214 + 4 = 666.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 53071370134 + ... + 53071372010.

It is an arithmetic number, because the mean of its divisors is an integer number (314045143308).

Almost surely, 2^{99614963502144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99614963502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158278752227232).

99614963502144 is an abundant number, since it is smaller than the sum of its proper divisors (216942540952320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99614963502144 is a wasteful number, since it uses less digits than its factorization.

99614963502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 99614963502144 in words is "ninety-nine trillion, six hundred fourteen billion, nine hundred sixty-three million, five hundred two thousand, one hundred forty-four".