8898414096000 has 3072 divisors, whose sum is σ = 38224850227200. Its totient is φ = 1799884800000.

The previous prime is 8898414095957. The next prime is 8898414096001. The reversal of 8898414096000 is 6904148988.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8898414096001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 125329775965 + ... + 125329776035.

It is an arithmetic number, because the mean of its divisors is an integer number (12442985100).

Almost surely, 2^{8898414096000} is an apocalyptic number.

8898414096000 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 8898414096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112425113600).

8898414096000 is an abundant number, since it is smaller than the sum of its proper divisors (29326436131200).

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

8898414096000 is a wasteful number, since it uses less digits than its factorization.

8898414096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 8898414096000 in words is "eight trillion, eight hundred ninety-eight billion, four hundred fourteen million, ninety-six thousand".