1845541272960 has 2560 divisors, whose sum is σ = 8637425280000. Its totient is φ = 364343132160.

The previous prime is 1845541272947. The next prime is 1845541272961. The reversal of 1845541272960 is 692721455481.

1845541272960 is a `hidden beast` number, since 1 + 8 + 4 + 5 + 541 + 2 + 7 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1845541272897 and 1845541272906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1845541272961) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12386182966 + ... + 12386183114.

It is an arithmetic number, because the mean of its divisors is an integer number (3373994250).

Almost surely, 2^{1845541272960} is an apocalyptic number.

1845541272960 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 1845541272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318712640000).

1845541272960 is an abundant number, since it is smaller than the sum of its proper divisors (6791884007040).

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

1845541272960 is a wasteful number, since it uses less digits than its factorization.

1845541272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1845541272960 in words is "one trillion, eight hundred forty-five billion, five hundred forty-one million, two hundred seventy-two thousand, nine hundred sixty".