99946846080 has 1280 divisors, whose sum is σ = 409477939200. Its totient is φ = 23075684352.

The previous prime is 99946846039. The next prime is 99946846091. The reversal of 99946846080 is 8064864999.

99946846080 is a `hidden beast` number, since 9 + 9 + 94 + 6 + 8 + 460 + 80 = 666.

It is a super-2 number, since 2×99946846080² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99946845999 and 99946846017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 786982977 + ... + 786983103.

It is an arithmetic number, because the mean of its divisors is an integer number (319904640).

Almost surely, 2^99946846080 is an apocalyptic number.

99946846080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99946846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204738969600).

99946846080 is an abundant number, since it is smaller than the sum of its proper divisors (309531093120).

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

99946846080 is a wasteful number, since it uses less digits than its factorization.

99946846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 99946846080 in words is "ninety-nine billion, nine hundred forty-six million, eight hundred forty-six thousand, eighty".