890242371144 has 128 divisors (see below), whose sum is σ = 2883843360000. Its totient is φ = 254354942016.

The previous prime is 890242371143. The next prime is 890242371167. The reversal of 890242371144 is 441173242098.

890242371144 is a `hidden beast` number, since 89 + 0 + 2 + 423 + 7 + 1 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 890242371144.

It is not an unprimeable number, because it can be changed into a prime (890242371143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5933919 + ... + 6082094.

It is an arithmetic number, because the mean of its divisors is an integer number (22530026250).

Almost surely, 2^890242371144 is an apocalyptic number.

890242371144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

890242371144 is an abundant number, since it is smaller than the sum of its proper divisors (1993600988856).

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

890242371144 is a wasteful number, since it uses less digits than its factorization.

890242371144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016049 (or 12016025 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 890242371144 in words is "eight hundred ninety billion, two hundred forty-two million, three hundred seventy-one thousand, one hundred forty-four".