18245606400 has 792 divisors, whose sum is σ = 77610449280. Its totient is φ = 4160471040.

The previous prime is 18245606399. The next prime is 18245606411. The reversal of 18245606400 is 460654281.

18245606400 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 5 + 6 + 0 + 640 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43545391 + ... + 43545809.

Almost surely, 2^18245606400 is an apocalyptic number.

18245606400 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 18245606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38805224640).

18245606400 is an abundant number, since it is smaller than the sum of its proper divisors (59364842880).

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

18245606400 is an equidigital number, since it uses as much as digits as its factorization.

18245606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 18245606400 in words is "eighteen billion, two hundred forty-five million, six hundred six thousand, four hundred".