1845916409760 has 384 divisors, whose sum is σ = 5968538763264. Its totient is φ = 479442862080.

The previous prime is 1845916409719. The next prime is 1845916409773. The reversal of 1845916409760 is 679046195481.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1845916409694 and 1845916409703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 774617529 + ... + 774619911.

It is an arithmetic number, because the mean of its divisors is an integer number (15543069696).

Almost surely, 2^{1845916409760} is an apocalyptic number.

1845916409760 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 1845916409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984269381632).

1845916409760 is an abundant number, since it is smaller than the sum of its proper divisors (4122622353504).

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

1845916409760 is a wasteful number, since it uses less digits than its factorization.

1845916409760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 1845916409760 in words is "one trillion, eight hundred forty-five billion, nine hundred sixteen million, four hundred nine thousand, seven hundred sixty".