18113045040 has 720 divisors, whose sum is σ = 69647104800. Its totient is φ = 4368494592.

The previous prime is 18113045033. The next prime is 18113045047. The reversal of 18113045040 is 4054031181.

It is a happy number.

18113045040 is a `hidden beast` number, since 1 + 81 + 130 + 450 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18113045033) and next prime (18113045047).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18113044995 and 18113045013.

It is not an unprimeable number, because it can be changed into a prime (18113045047) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203517316 + ... + 203517404.

It is an arithmetic number, because the mean of its divisors is an integer number (96732090).

Almost surely, 2^18113045040 is an apocalyptic number.

18113045040 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 18113045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34823552400).

18113045040 is an abundant number, since it is smaller than the sum of its proper divisors (51534059760).

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

18113045040 is a wasteful number, since it uses less digits than its factorization.

18113045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 18113045040 in words is "eighteen billion, one hundred thirteen million, forty-five thousand, forty".