18214344072 has 128 divisors (see below), whose sum is σ = 53317440000. Its totient is φ = 5745515328.

The previous prime is 18214344067. The next prime is 18214344101. The reversal of 18214344072 is 27044341281.

18214344072 is a `hidden beast` number, since 1 + 8 + 2 + 143 + 440 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4869579 + ... + 4873317.

It is an arithmetic number, because the mean of its divisors is an integer number (416542500).

Almost surely, 2^18214344072 is an apocalyptic number.

18214344072 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 18214344072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658720000).

18214344072 is an abundant number, since it is smaller than the sum of its proper divisors (35103095928).

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

18214344072 is a wasteful number, since it uses less digits than its factorization.

18214344072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 18214344072 in words is "eighteen billion, two hundred fourteen million, three hundred forty-four thousand, seventy-two".