18334311840 has 288 divisors, whose sum is σ = 68052728016. Its totient is φ = 4467916800.

The previous prime is 18334311833. The next prime is 18334311859. The reversal of 18334311840 is 4811343381.

It is a happy number.

18334311840 is a `hidden beast` number, since 1 + 8 + 334 + 311 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5844908304 + 12489403536 = 76452^2 + 111756^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×18334311840² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 18334311795 and 18334311804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1885872 + ... + 1895568.

Almost surely, 2^18334311840 is an apocalyptic number.

18334311840 is a gapful number since it is divisible by the number (10) 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 18334311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34026364008).

18334311840 is an abundant number, since it is smaller than the sum of its proper divisors (49718416176).

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

18334311840 is a wasteful number, since it uses less digits than its factorization.

18334311840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9832 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18334311840 in words is "eighteen billion, three hundred thirty-four million, three hundred eleven thousand, eight hundred forty".