81914112 has 144 divisors (see below), whose sum is σ = 277002880. Its totient is φ = 23390208.

The previous prime is 81914099. The next prime is 81914117. The reversal of 81914112 is 21141918.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (81914117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47538 + ... + 49230.

Almost surely, 2^81914112 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 81914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138501440).

81914112 is an abundant number, since it is smaller than the sum of its proper divisors (195088768).

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

81914112 is a wasteful number, since it uses less digits than its factorization.

81914112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1705 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 81914112 is about 9050.6415242236. The cubic root of 81914112 is about 434.2964131384.

The spelling of 81914112 in words is "eighty-one million, nine hundred fourteen thousand, one hundred twelve".