81416448 has 72 divisors (see below), whose sum is σ = 240783200. Its totient is φ = 27136512.

The previous prime is 81416441. The next prime is 81416449. The reversal of 81416448 is 84461418.

81416448 is a `hidden beast` number, since 8 + 1 + 4 + 1 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (81416441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023 + ... + 12801.

Almost surely, 2^81416448 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 81416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120391600).

81416448 is an abundant number, since it is smaller than the sum of its proper divisors (159366752).

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

81416448 is a wasteful number, since it uses less digits than its factorization.

81416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11804 (or 11784 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 81416448 is about 9023.1063387284. The cubic root of 81416448 is about 433.4151125077.

The spelling of 81416448 in words is "eighty-one million, four hundred sixteen thousand, four hundred forty-eight".