99584146872 has 336 divisors, whose sum is σ = 342817482600. Its totient is φ = 26953637760.

The previous prime is 99584146861. The next prime is 99584146889. The reversal of 99584146872 is 27864148599.

99584146872 is a `hidden beast` number, since 9 + 9 + 584 + 1 + 46 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5420422 + ... + 5438762.

Almost surely, 2^99584146872 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 99584146872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171408741300).

99584146872 is an abundant number, since it is smaller than the sum of its proper divisors (243233335728).

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

99584146872 is a wasteful number, since it uses less digits than its factorization.

99584146872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18398 (or 18372 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 99584146872 in words is "ninety-nine billion, five hundred eighty-four million, one hundred forty-six thousand, eight hundred seventy-two".