82181804016 has 240 divisors, whose sum is σ = 238355315712. Its totient is φ = 24362956800.

The previous prime is 82181803997. The next prime is 82181804041. The reversal of 82181804016 is 61040818128.

It is a super-2 number, since 2×82181804016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 70663051 + ... + 70664213.

Almost surely, 2^82181804016 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 82181804016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119177657856).

82181804016 is an abundant number, since it is smaller than the sum of its proper divisors (156173511696).

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

82181804016 is a wasteful number, since it uses less digits than its factorization.

82181804016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 82181804016 in words is "eighty-two billion, one hundred eighty-one million, eight hundred four thousand, sixteen".