81249182496 has 288 divisors, whose sum is σ = 249063534720. Its totient is φ = 25061363712.

The previous prime is 81249182467. The next prime is 81249182513. The reversal of 81249182496 is 69428194218.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 31045380 + ... + 31047996.

It is an arithmetic number, because the mean of its divisors is an integer number (864803940).

Almost surely, 2^81249182496 is an apocalyptic number.

81249182496 is a gapful number since it is divisible by the number (86) 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 81249182496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124531767360).

81249182496 is an abundant number, since it is smaller than the sum of its proper divisors (167814352224).

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

81249182496 is a wasteful number, since it uses less digits than its factorization.

81249182496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2797 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 81249182496 in words is "eighty-one billion, two hundred forty-nine million, one hundred eighty-two thousand, four hundred ninety-six".