1836821435904 has 2560 divisors, whose sum is σ = 7579248230400. Its totient is φ = 425681879040.

The previous prime is 1836821435861. The next prime is 1836821435929. The reversal of 1836821435904 is 4095341286381.

It is a happy number.

1836821435904 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 8 + 2 + 1 + 43 + 590 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 27415245279 + ... + 27415245345.

It is an arithmetic number, because the mean of its divisors is an integer number (2960643840).

Almost surely, 2^{1836821435904} is an apocalyptic number.

1836821435904 is a gapful number since it is divisible by the number (14) 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 1836821435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789624115200).

1836821435904 is an abundant number, since it is smaller than the sum of its proper divisors (5742426794496).

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

1836821435904 is a wasteful number, since it uses less digits than its factorization.

1836821435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1836821435904 in words is "one trillion, eight hundred thirty-six billion, eight hundred twenty-one million, four hundred thirty-five thousand, nine hundred four".