8986846478400 has 504 divisors, whose sum is σ = 36512201117184. Its totient is φ = 2053698969600.

The previous prime is 8986846478399. The next prime is 8986846478437. The reversal of 8986846478400 is 48746486898.

8986846478400 is a `hidden beast` number, since 8 + 9 + 86 + 8 + 464 + 7 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 858911569 + ... + 858922031.

Almost surely, 2^{8986846478400} is an apocalyptic number.

8986846478400 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 8986846478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18256100558592).

8986846478400 is an abundant number, since it is smaller than the sum of its proper divisors (27525354638784).

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

8986846478400 is a wasteful number, since it uses less digits than its factorization.

8986846478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19019 (or 19001 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 8986846478400 in words is "eight trillion, nine hundred eighty-six billion, eight hundred forty-six million, four hundred seventy-eight thousand, four hundred".