18453131136 has 144 divisors (see below), whose sum is σ = 58367443680. Its totient is φ = 5591815680.

The previous prime is 18453131131. The next prime is 18453131149. The reversal of 18453131136 is 63113135481.

18453131136 is a `hidden beast` number, since 1 + 8 + 4 + 531 + 3 + 113 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18453131136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18453131131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73201 + ... + 205583.

It is an arithmetic number, because the mean of its divisors is an integer number (405329470).

Almost surely, 2^18453131136 is an apocalyptic number.

18453131136 is a gapful number since it is divisible by the number (16) 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 18453131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29183721840).

18453131136 is an abundant number, since it is smaller than the sum of its proper divisors (39914312544).

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

18453131136 is a wasteful number, since it uses less digits than its factorization.

18453131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132425 (or 132399 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 18453131136 in words is "eighteen billion, four hundred fifty-three million, one hundred thirty-one thousand, one hundred thirty-six".