94661688000 has 672 divisors, whose sum is σ = 353258103744. Its totient is φ = 22302720000.

The previous prime is 94661687969. The next prime is 94661688007. The reversal of 94661688000 is 88616649.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (94661688007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107447560 + ... + 107448440.

It is an arithmetic number, because the mean of its divisors is an integer number (525681702).

Almost surely, 2^94661688000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94661688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176629051872).

94661688000 is an abundant number, since it is smaller than the sum of its proper divisors (258596415744).

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

94661688000 is a wasteful number, since it uses less digits than its factorization.

94661688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 94661688000 in words is "ninety-four billion, six hundred sixty-one million, six hundred eighty-eight thousand".