8949956198400 has 1800 divisors, whose sum is σ = 38406609632160. Its totient is φ = 2018047426560.

The previous prime is 8949956198387. The next prime is 8949956198473. The reversal of 8949956198400 is 48916599498.

8949956198400 is a `hidden beast` number, since 8 + 9 + 49 + 95 + 6 + 1 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20669644584 + ... + 20669645016.

Almost surely, 2^{8949956198400} is an apocalyptic number.

8949956198400 is a gapful number since it is divisible by the number (80) 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 8949956198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203304816080).

8949956198400 is an abundant number, since it is smaller than the sum of its proper divisors (29456653433760).

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

8949956198400 is an equidigital number, since it uses as much as digits as its factorization.

8949956198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 8949956198400 in words is "eight trillion, nine hundred forty-nine billion, nine hundred fifty-six million, one hundred ninety-eight thousand, four hundred".