18368846100 has 216 divisors, whose sum is σ = 64509183648. Its totient is φ = 4332614400.

The previous prime is 18368846099. The next prime is 18368846101. The reversal of 18368846100 is 164886381.

It is a happy number.

18368846100 is a `hidden beast` number, since 183 + 6 + 8 + 8 + 461 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18368846099) and next prime (18368846101).

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 (18368846101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 341227 + ... + 391373.

It is an arithmetic number, because the mean of its divisors is an integer number (298653628).

Almost surely, 2^18368846100 is an apocalyptic number.

18368846100 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 18368846100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32254591824).

18368846100 is an abundant number, since it is smaller than the sum of its proper divisors (46140337548).

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

18368846100 is a wasteful number, since it uses less digits than its factorization.

18368846100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50215 (or 50205 counting only the distinct ones).

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

It can be divided in two parts, 18368 and 846100, that added together give a palindrome (864468).

The spelling of 18368846100 in words is "eighteen billion, three hundred sixty-eight million, eight hundred forty-six thousand, one hundred".