18113135040 has 1344 divisors, whose sum is σ = 85846505472. Its totient is φ = 3384115200.

The previous prime is 18113135023. The next prime is 18113135063. The reversal of 18113135040 is 4053131181.

18113135040 is a `hidden beast` number, since 181 + 131 + 350 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 18113134995 and 18113135013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175855629 + ... + 175855731.

It is an arithmetic number, because the mean of its divisors is an integer number (63873888).

Almost surely, 2^18113135040 is an apocalyptic number.

18113135040 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 18113135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42923252736).

18113135040 is an abundant number, since it is smaller than the sum of its proper divisors (67733370432).

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

18113135040 is a wasteful number, since it uses less digits than its factorization.

18113135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 18113135040 in words is "eighteen billion, one hundred thirteen million, one hundred thirty-five thousand, forty".