94117192416 has 216 divisors, whose sum is σ = 293087471040. Its totient is φ = 28632434688.

The previous prime is 94117192333. The next prime is 94117192447. The reversal of 94117192416 is 61429171149.

94117192416 is a `hidden beast` number, since 9 + 41 + 1 + 7 + 192 + 416 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4320945 + ... + 4342671.

It is an arithmetic number, because the mean of its divisors is an integer number (1356886440).

Almost surely, 2^94117192416 is an apocalyptic number.

94117192416 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 94117192416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146543735520).

94117192416 is an abundant number, since it is smaller than the sum of its proper divisors (198970278624).

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

94117192416 is a wasteful number, since it uses less digits than its factorization.

94117192416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21858 (or 21834 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 94117192416 in words is "ninety-four billion, one hundred seventeen million, one hundred ninety-two thousand, four hundred sixteen".