1845701338320 has 960 divisors, whose sum is σ = 7626574725120. Its totient is φ = 390437978112.

The previous prime is 1845701338297. The next prime is 1845701338343. The reversal of 1845701338320 is 238331075481.

1845701338320 is a `hidden beast` number, since 1 + 8 + 4 + 570 + 13 + 38 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1845701338297) and next prime (1845701338343).

It is a super-2 number, since 2×1845701338320² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2484119869 + ... + 2484120611.

It is an arithmetic number, because the mean of its divisors is an integer number (7944348672).

Almost surely, 2^{1845701338320} is an apocalyptic number.

1845701338320 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 1845701338320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813287362560).

1845701338320 is an abundant number, since it is smaller than the sum of its proper divisors (5780873386800).

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

1845701338320 is a wasteful number, since it uses less digits than its factorization.

1845701338320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1845701338320 in words is "one trillion, eight hundred forty-five billion, seven hundred one million, three hundred thirty-eight thousand, three hundred twenty".