18181314432 has 192 divisors, whose sum is σ = 54399945600. Its totient is φ = 6044419584.

The previous prime is 18181314427. The next prime is 18181314443. The reversal of 18181314432 is 23441318181.

18181314432 is a `hidden beast` number, since 1 + 8 + 181 + 31 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20497093 + ... + 20497979.

It is an arithmetic number, because the mean of its divisors is an integer number (283333050).

Almost surely, 2^18181314432 is an apocalyptic number.

18181314432 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 18181314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27199972800).

18181314432 is an abundant number, since it is smaller than the sum of its proper divisors (36218631168).

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

18181314432 is an frugal number, since it uses more digits than its factorization.

18181314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1551 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 18181314432 in words is "eighteen billion, one hundred eighty-one million, three hundred fourteen thousand, four hundred thirty-two".