89994968414208 has 2304 divisors, whose sum is σ = 340227150681600. Its totient is φ = 23345139548160.

The previous prime is 89994968414167. The next prime is 89994968414231. The reversal of 89994968414208 is 80241486949998.

89994968414208 is a `hidden beast` number, since 8 + 9 + 9 + 9 + 496 + 84 + 1 + 42 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88316945923 + ... + 88316946941.

It is an arithmetic number, because the mean of its divisors is an integer number (147668034150).

Almost surely, 2^{89994968414208} is an apocalyptic number.

89994968414208 is a gapful number since it is divisible by the number (88) 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 89994968414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170113575340800).

89994968414208 is an abundant number, since it is smaller than the sum of its proper divisors (250232182267392).

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

89994968414208 is a wasteful number, since it uses less digits than its factorization.

89994968414208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 2579890176, while the sum is 81.

The spelling of 89994968414208 in words is "eighty-nine trillion, nine hundred ninety-four billion, nine hundred sixty-eight million, four hundred fourteen thousand, two hundred eight".