1845087289344 has 960 divisors, whose sum is σ = 6337630615680. Its totient is φ = 532030685184.

The previous prime is 1845087289337. The next prime is 1845087289349. The reversal of 1845087289344 is 4439827805481.

It is a happy number.

1845087289344 is a `hidden beast` number, since 1 + 8 + 4 + 5 + 0 + 8 + 7 + 289 + 344 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1845087289349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7918829452 + ... + 7918829684.

It is an arithmetic number, because the mean of its divisors is an integer number (6601698558).

Almost surely, 2^{1845087289344} 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 1845087289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168815307840).

1845087289344 is an abundant number, since it is smaller than the sum of its proper divisors (4492543326336).

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

1845087289344 is an frugal number, since it uses more digits than its factorization.

1845087289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 1845087289344 in words is "one trillion, eight hundred forty-five billion, eighty-seven million, two hundred eighty-nine thousand, three hundred forty-four".