81892130334 has 96 divisors (see below), whose sum is σ = 195084723456. Its totient is φ = 22843941120.

The previous prime is 81892130291. The next prime is 81892130347. The reversal of 81892130334 is 43303129818.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

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, 2207479 + ... + 2244269.

It is an arithmetic number, because the mean of its divisors is an integer number (2032132536).

Almost surely, 2^81892130334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81892130334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97542361728).

81892130334 is an abundant number, since it is smaller than the sum of its proper divisors (113192593122).

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

81892130334 is a wasteful number, since it uses less digits than its factorization.

81892130334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36990 (or 36983 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

It can be divided in two parts, 81892 and 130334, that added together give a triangular number (212226 = T₆₅₁).

The spelling of 81892130334 in words is "eighty-one billion, eight hundred ninety-two million, one hundred thirty thousand, three hundred thirty-four".