18468103680 has 1200 divisors, whose sum is σ = 78286310784. Its totient is φ = 4140564480.

The previous prime is 18468103679. The next prime is 18468103681. The reversal of 18468103680 is 8630186481.

It is a happy number.

18468103680 is a `hidden beast` number, since 1 + 8 + 468 + 103 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (18468103679) and next prime (18468103681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18468103681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 595745265 + ... + 595745295.

Almost surely, 2^18468103680 is an apocalyptic number.

18468103680 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 18468103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39143155392).

18468103680 is an abundant number, since it is smaller than the sum of its proper divisors (59818207104).

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

18468103680 is a wasteful number, since it uses less digits than its factorization.

18468103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18468103680 in words is "eighteen billion, four hundred sixty-eight million, one hundred three thousand, six hundred eighty".