1845364475556 has 336 divisors, whose sum is σ = 5758084329984. Its totient is φ = 506278626048.

The previous prime is 1845364475543. The next prime is 1845364475557. The reversal of 1845364475556 is 6555744635481.

1845364475556 is a `hidden beast` number, since 1 + 8 + 4 + 5 + 3 + 6 + 4 + 4 + 75 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1845364475493 and 1845364475502.

It is not an unprimeable number, because it can be changed into a prime (1845364475557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50828146 + ... + 50864438.

It is an arithmetic number, because the mean of its divisors is an integer number (17137155744).

Almost surely, 2^{1845364475556} 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 1845364475556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879042164992).

1845364475556 is an abundant number, since it is smaller than the sum of its proper divisors (3912719854428).

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

1845364475556 is a wasteful number, since it uses less digits than its factorization.

1845364475556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36422 (or 36405 counting only the distinct ones).

The product of its digits is 241920000, while the sum is 63.

The spelling of 1845364475556 in words is "one trillion, eight hundred forty-five billion, three hundred sixty-four million, four hundred seventy-five thousand, five hundred fifty-six".