18214848400 has 180 divisors, whose sum is σ = 52283770068. Its totient is φ = 6076062720.

The previous prime is 18214848371. The next prime is 18214848439. The reversal of 18214848400 is 484841281.

It can be written as a sum of positive squares in 6 ways, for example, as 309197056 + 17905651344 = 17584^2 + 133812^2 .

It is a hoax number, since the sum of its digits (40) 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 712642 + ... + 737758.

Almost surely, 2^18214848400 is an apocalyptic number.

18214848400 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 18214848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26141885034).

18214848400 is an abundant number, since it is smaller than the sum of its proper divisors (34068921668).

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

18214848400 is a wasteful number, since it uses less digits than its factorization.

18214848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25186 (or 25168 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 18214848400 in words is "eighteen billion, two hundred fourteen million, eight hundred forty-eight thousand, four hundred".