83181914820 has 240 divisors, whose sum is σ = 270390981168. Its totient is φ = 21389598720.

The previous prime is 83181914813. The next prime is 83181914843. The reversal of 83181914820 is 2841918138.

83181914820 is a `hidden beast` number, since 8 + 3 + 1 + 81 + 91 + 482 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 144576576 + 83037338244 = 12024^2 + 288162^2 .

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6767080 + ... + 6779360.

Almost surely, 2^83181914820 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 83181914820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135195490584).

83181914820 is an abundant number, since it is smaller than the sum of its proper divisors (187209066348).

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

83181914820 is a wasteful number, since it uses less digits than its factorization.

83181914820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12452 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

It can be divided in two parts, 83181 and 914820, that added together give a square (998001 = 999²).

The spelling of 83181914820 in words is "eighty-three billion, one hundred eighty-one million, nine hundred fourteen thousand, eight hundred twenty".