1814382432 has 72 divisors (see below), whose sum is σ = 5192643456. Its totient is φ = 600926976.

The previous prime is 1814382373. The next prime is 1814382433. The reversal of 1814382432 is 2342834181.

It is a happy number.

1814382432 is a `hidden beast` number, since 1 + 8 + 143 + 82 + 432 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814382433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25153 + ... + 65279.

It is an arithmetic number, because the mean of its divisors is an integer number (72120048).

Almost surely, 2^1814382432 is an apocalyptic number.

1814382432 is a gapful number since it is divisible by the number (12) 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 1814382432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596321728).

1814382432 is an abundant number, since it is smaller than the sum of its proper divisors (3378261024).

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

1814382432 is a wasteful number, since it uses less digits than its factorization.

1814382432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40300 (or 40289 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1814382432 is about 42595.5682201799. The cubic root of 1814382432 is about 1219.6716916459.

The spelling of 1814382432 in words is "one billion, eight hundred fourteen million, three hundred eighty-two thousand, four hundred thirty-two".