1845141742080 has 2400 divisors, whose sum is σ = 8451517037040. Its totient is φ = 381250437120.

The previous prime is 1845141742033. The next prime is 1845141742097. The reversal of 1845141742080 is 802471415481.

1845141742080 is a `hidden beast` number, since 1 + 8 + 4 + 5 + 141 + 7 + 420 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 389316098304 + 1455825643776 = 623952^2 + 1206576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8057387406 + ... + 8057387634.

Almost surely, 2^{1845141742080} is an apocalyptic number.

1845141742080 is a gapful number since it is divisible by the number (10) 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 1845141742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225758518520).

1845141742080 is an abundant number, since it is smaller than the sum of its proper divisors (6606375294960).

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

1845141742080 is a wasteful number, since it uses less digits than its factorization.

1845141742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 1845141742080 in words is "one trillion, eight hundred forty-five billion, one hundred forty-one million, seven hundred forty-two thousand, eighty".