1845277728100 has 27 divisors (see below), whose sum is σ = 4004282147691. Its totient is φ = 738105657600.

The previous prime is 1845277728083. The next prime is 1845277728109. The reversal of 1845277728100 is 18277725481.

It is a happy number.

The square root of 1845277728100 is 1358410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 81289992996 + 1763987735104 = 285114^2 + 1328152^2 .

It is a super-2 number, since 2×1845277728100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1845277728109) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 13516180 + ... + 13652020.

Almost surely, 2^{1845277728100} is an apocalyptic number.

1845277728100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1845277728100 is the 1358410-th square number.

It is an amenable number.

1845277728100 is an abundant number, since it is smaller than the sum of its proper divisors (2159004419591).

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

1845277728100 is an frugal number, since it uses more digits than its factorization.

1845277728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271696 (or 135848 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 52.

The spelling of 1845277728100 in words is "one trillion, eight hundred forty-five billion, two hundred seventy-seven million, seven hundred twenty-eight thousand, one hundred".