94188328416 has 576 divisors, whose sum is σ = 350751643200. Its totient is φ = 24364634112.

The previous prime is 94188328391. The next prime is 94188328447. The reversal of 94188328416 is 61482388149.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29167890 + ... + 29171118.

It is an arithmetic number, because the mean of its divisors is an integer number (608943825).

Almost surely, 2^94188328416 is an apocalyptic number.

94188328416 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 94188328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175375821600).

94188328416 is an abundant number, since it is smaller than the sum of its proper divisors (256563314784).

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

94188328416 is a wasteful number, since it uses less digits than its factorization.

94188328416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3307 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

It can be divided in two parts, 941883 and 28416, that added together give a cube (970299 = 99³).

The spelling of 94188328416 in words is "ninety-four billion, one hundred eighty-eight million, three hundred twenty-eight thousand, four hundred sixteen".