18263831040 has 960 divisors, whose sum is σ = 80646838272. Its totient is φ = 3715891200.

The previous prime is 18263830993. The next prime is 18263831041. The reversal of 18263831040 is 4013836281.

18263831040 is a `hidden beast` number, since 1 + 8 + 2 + 638 + 3 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 18263830986 and 18263831004.

It is not an unprimeable number, because it can be changed into a prime (18263831041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64995700 + ... + 64995980.

Almost surely, 2^18263831040 is an apocalyptic number.

18263831040 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 18263831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40323419136).

18263831040 is an abundant number, since it is smaller than the sum of its proper divisors (62383007232).

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

18263831040 is a wasteful number, since it uses less digits than its factorization.

18263831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

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

The spelling of 18263831040 in words is "eighteen billion, two hundred sixty-three million, eight hundred thirty-one thousand, forty".