18914342400 has 420 divisors, whose sum is σ = 70295162652. Its totient is φ = 5041336320.

The previous prime is 18914342371. The next prime is 18914342411. The reversal of 18914342400 is 424341981.

It is a happy number.

18914342400 is a `hidden beast` number, since 189 + 1 + 434 + 2 + 40 + 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 41 ways as a sum of consecutive naturals, for example, 9330187 + ... + 9332213.

Almost surely, 2^18914342400 is an apocalyptic number.

18914342400 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 18914342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35147581326).

18914342400 is an abundant number, since it is smaller than the sum of its proper divisors (51380820252).

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

18914342400 is an frugal number, since it uses more digits than its factorization.

18914342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18914342400 in words is "eighteen billion, nine hundred fourteen million, three hundred forty-two thousand, four hundred".