94199648400 has 720 divisors, whose sum is σ = 393504314112. Its totient is φ = 20560896000.

The previous prime is 94199648393. The next prime is 94199648423. The reversal of 94199648400 is 484699149.

It is a happy number.

94199648400 is a `hidden beast` number, since 9 + 4 + 199 + 6 + 48 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 21104569 + ... + 21109031.

Almost surely, 2^94199648400 is an apocalyptic number.

94199648400 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 94199648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196752157056).

94199648400 is an abundant number, since it is smaller than the sum of its proper divisors (299304665712).

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

94199648400 is a wasteful number, since it uses less digits than its factorization.

94199648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 94199648400 in words is "ninety-four billion, one hundred ninety-nine million, six hundred forty-eight thousand, four hundred".