99605456618976 has 1152 divisors, whose sum is σ = 388417011720192. Its totient is φ = 24340808448000.

The previous prime is 99605456618917. The next prime is 99605456618981. The reversal of 99605456618976 is 67981665450699.

99605456618976 is a `hidden beast` number, since 9 + 9 + 6 + 0 + 545 + 6 + 61 + 8 + 9 + 7 + 6 = 666.

It is a super-3 number, since 3×99605456618976³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 99605456618895 and 99605456618904.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 839989771 + ... + 840108341.

It is an arithmetic number, because the mean of its divisors is an integer number (337167544896).

Almost surely, 2^{99605456618976} is an apocalyptic number.

99605456618976 is a gapful number since it is divisible by the number (96) 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 99605456618976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194208505860096).

99605456618976 is an abundant number, since it is smaller than the sum of its proper divisors (288811555101216).

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

99605456618976 is a wasteful number, since it uses less digits than its factorization.

99605456618976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118698 (or 118678 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

The spelling of 99605456618976 in words is "ninety-nine trillion, six hundred five billion, four hundred fifty-six million, six hundred eighteen thousand, nine hundred seventy-six".