890225117184 has 768 divisors, whose sum is σ = 2817884160000. Its totient is φ = 247478353920.

The previous prime is 890225117179. The next prime is 890225117189. The reversal of 890225117184 is 481711522098.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (890225117179) and next prime (890225117189).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (890225117189) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5974665142 + ... + 5974665290.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120000).

Almost surely, 2^890225117184 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 890225117184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408942080000).

890225117184 is an abundant number, since it is smaller than the sum of its proper divisors (1927659042816).

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

890225117184 is a wasteful number, since it uses less digits than its factorization.

890225117184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 890225117184 in words is "eight hundred ninety billion, two hundred twenty-five million, one hundred seventeen thousand, one hundred eighty-four".