18214502400 has 630 divisors, whose sum is σ = 68835144182. Its totient is φ = 4777574400.

The previous prime is 18214502351. The next prime is 18214502419. The reversal of 18214502400 is 420541281.

It can be written as a sum of positive squares in 3 ways, for example, as 47775744 + 18166726656 = 6912^2 + 134784^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 298598370 + ... + 298598430.

Almost surely, 2^18214502400 is an apocalyptic number.

18214502400 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 18214502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34417572091).

18214502400 is an abundant number, since it is smaller than the sum of its proper divisors (50620641782).

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

18214502400 is an frugal number, since it uses more digits than its factorization.

18214502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 18214502400 in words is "eighteen billion, two hundred fourteen million, five hundred two thousand, four hundred".