94416905968 has 360 divisors, whose sum is σ = 242136533520. Its totient is φ = 35517081600.

The previous prime is 94416905963. The next prime is 94416905977. The reversal of 94416905968 is 86950961449.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94416905963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447473383 + ... + 447473593.

It is an arithmetic number, because the mean of its divisors is an integer number (672601482).

Almost surely, 2^94416905968 is an apocalyptic number.

94416905968 is a gapful number since it is divisible by the number (98) 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 94416905968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121068266760).

94416905968 is an abundant number, since it is smaller than the sum of its proper divisors (147719627552).

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

94416905968 is a wasteful number, since it uses less digits than its factorization.

94416905968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 94416905968 in words is "ninety-four billion, four hundred sixteen million, nine hundred five thousand, nine hundred sixty-eight".