18218642400 has 216 divisors, whose sum is σ = 73421331984. Its totient is φ = 4164249600.

The previous prime is 18218642381. The next prime is 18218642419. The reversal of 18218642400 is 424681281.

18218642400 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 8 + 642 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18218642381) and next prime (18218642419).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130341 + ... + 231140.

It is an arithmetic number, because the mean of its divisors is an integer number (339913574).

Almost surely, 2^18218642400 is an apocalyptic number.

18218642400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18218642400 is an abundant number, since it is smaller than the sum of its proper divisors (55202689584).

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

18218642400 is a wasteful number, since it uses less digits than its factorization.

18218642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361514 (or 361498 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18218642400 in words is "eighteen billion, two hundred eighteen million, six hundred forty-two thousand, four hundred".