94493952000 has 1728 divisors, whose sum is σ = 424135595520. Its totient is φ = 20901888000.

The previous prime is 94493951989. The next prime is 94493952037. The reversal of 94493952000 is 25939449.

It is a happy number.

94493952000 is a `hidden beast` number, since 94 + 4 + 9 + 39 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3048191985 + ... + 3048192015.

It is an arithmetic number, because the mean of its divisors is an integer number (245448840).

Almost surely, 2^94493952000 is an apocalyptic number.

94493952000 is a gapful number since it is divisible by the number (90) 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 94493952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212067797760).

94493952000 is an abundant number, since it is smaller than the sum of its proper divisors (329641643520).

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

94493952000 is an equidigital number, since it uses as much as digits as its factorization.

94493952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 94493952000 in words is "ninety-four billion, four hundred ninety-three million, nine hundred fifty-two thousand".