1836481128300 has 648 divisors, whose sum is σ = 7259984550000. Its totient is φ = 384858915840.

The previous prime is 1836481128247. The next prime is 1836481128323. The reversal of 1836481128300 is 38211846381.

1836481128300 is a `hidden beast` number, since 1 + 8 + 364 + 8 + 1 + 1 + 283 + 0 + 0 = 666.

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

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 215 ways as a sum of consecutive naturals, for example, 85410951 + ... + 85432449.

Almost surely, 2^{1836481128300} is an apocalyptic number.

1836481128300 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 1836481128300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629992275000).

1836481128300 is an abundant number, since it is smaller than the sum of its proper divisors (5423503421700).

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

1836481128300 is a wasteful number, since it uses less digits than its factorization.

1836481128300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21695 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1836481128300 in words is "one trillion, eight hundred thirty-six billion, four hundred eighty-one million, one hundred twenty-eight thousand, three hundred".