94258790400 has 408 divisors, whose sum is σ = 316214554624. Its totient is φ = 24772608000.

The previous prime is 94258790383. The next prime is 94258790441. The reversal of 94258790400 is 409785249.

It is a super-2 number, since 2×94258790400² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 94258790400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624230325 + ... + 624230475.

Almost surely, 2^94258790400 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 94258790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158107277312).

94258790400 is an abundant number, since it is smaller than the sum of its proper divisors (221955764224).

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

94258790400 is a wasteful number, since it uses less digits than its factorization.

94258790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 94258790400 in words is "ninety-four billion, two hundred fifty-eight million, seven hundred ninety thousand, four hundred".