18011430864 has 200 divisors, whose sum is σ = 59811945600. Its totient is φ = 5125876992.

The previous prime is 18011430859. The next prime is 18011430881. The reversal of 18011430864 is 46803411081.

It is a happy number.

18011430864 is a `hidden beast` number, since 180 + 114 + 308 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2382162 + ... + 2389710.

It is an arithmetic number, because the mean of its divisors is an integer number (299059728).

Almost surely, 2^18011430864 is an apocalyptic number.

18011430864 is a gapful number since it is divisible by the number (14) 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 18011430864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29905972800).

18011430864 is an abundant number, since it is smaller than the sum of its proper divisors (41800514736).

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

18011430864 is a wasteful number, since it uses less digits than its factorization.

18011430864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7824 counting only the distinct ones).

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

The spelling of 18011430864 in words is "eighteen billion, eleven million, four hundred thirty thousand, eight hundred sixty-four".