81831190896 has 1440 divisors, whose sum is σ = 328488975360. Its totient is φ = 19470108672.

The previous prime is 81831190873. The next prime is 81831190897. The reversal of 81831190896 is 69809113818.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81831190897) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1741089145 + ... + 1741089191.

It is an arithmetic number, because the mean of its divisors is an integer number (228117344).

Almost surely, 2^81831190896 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 81831190896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164244487680).

81831190896 is an abundant number, since it is smaller than the sum of its proper divisors (246657784464).

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

81831190896 is a wasteful number, since it uses less digits than its factorization.

81831190896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 81831190896 in words is "eighty-one billion, eight hundred thirty-one million, one hundred ninety thousand, eight hundred ninety-six".