81112492032 has 768 divisors, whose sum is σ = 276064588800. Its totient is φ = 20808990720.

The previous prime is 81112491959. The next prime is 81112492033. The reversal of 81112492032 is 23029421118.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 81112491984 and 81112492002.

It is not an unprimeable number, because it can be changed into a prime (81112492033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 717809608 + ... + 717809720.

It is an arithmetic number, because the mean of its divisors is an integer number (359459100).

Almost surely, 2^81112492032 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 81112492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138032294400).

81112492032 is an abundant number, since it is smaller than the sum of its proper divisors (194952096768).

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

81112492032 is a wasteful number, since it uses less digits than its factorization.

81112492032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 81112492032 in words is "eighty-one billion, one hundred twelve million, four hundred ninety-two thousand, thirty-two".