94579094400 has 384 divisors, whose sum is σ = 363301152000. Its totient is φ = 21617326080.

The previous prime is 94579094383. The next prime is 94579094447. The reversal of 94579094400 is 449097549.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×94579094400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3278439 + ... + 3307161.

It is an arithmetic number, because the mean of its divisors is an integer number (946096750).

Almost surely, 2^94579094400 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 94579094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181650576000).

94579094400 is an abundant number, since it is smaller than the sum of its proper divisors (268722057600).

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

94579094400 is a wasteful number, since it uses less digits than its factorization.

94579094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28771 (or 28740 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 94579094400 in words is "ninety-four billion, five hundred seventy-nine million, ninety-four thousand, four hundred".