18345003768 has 400 divisors, whose sum is σ = 64625456280. Its totient is φ = 4832908416.

The previous prime is 18345003767. The next prime is 18345003917. The reversal of 18345003768 is 86730054381.

18345003768 is a `hidden beast` number, since 1 + 83 + 4 + 500 + 3 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18345003767) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 20225571 + ... + 20226477.

Almost surely, 2^18345003768 is an apocalyptic number.

18345003768 is a gapful number since it is divisible by the number (18) 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 18345003768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32312728140).

18345003768 is an abundant number, since it is smaller than the sum of its proper divisors (46280452512).

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

18345003768 is an equidigital number, since it uses as much as digits as its factorization.

18345003768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 18345003768 in words is "eighteen billion, three hundred forty-five million, three thousand, seven hundred sixty-eight".