1836731344896 has 1920 divisors, whose sum is σ = 7192209024000. Its totient is φ = 454442876928.

The previous prime is 1836731344871. The next prime is 1836731344901. The reversal of 1836731344896 is 6984431376381.

It is a happy number.

1836731344896 is a `hidden beast` number, since 1 + 8 + 36 + 73 + 1 + 3 + 448 + 96 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22129293271 + ... + 22129293353.

It is an arithmetic number, because the mean of its divisors is an integer number (3745942200).

Almost surely, 2^{1836731344896} is an apocalyptic number.

1836731344896 is a gapful number since it is divisible by the number (16) 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 1836731344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596104512000).

1836731344896 is an abundant number, since it is smaller than the sum of its proper divisors (5355477679104).

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

1836731344896 is a wasteful number, since it uses less digits than its factorization.

1836731344896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 1836731344896 in words is "one trillion, eight hundred thirty-six billion, seven hundred thirty-one million, three hundred forty-four thousand, eight hundred ninety-six".