18381434400 has 864 divisors, whose sum is σ = 78560471808. Its totient is φ = 3953664000.

The previous prime is 18381434371. The next prime is 18381434431. The reversal of 18381434400 is 443418381.

18381434400 is a `hidden beast` number, since 183 + 8 + 1 + 434 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117079122 + ... + 117079278.

It is an arithmetic number, because the mean of its divisors is an integer number (90926472).

Almost surely, 2^18381434400 is an apocalyptic number.

18381434400 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 18381434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39280235904).

18381434400 is an abundant number, since it is smaller than the sum of its proper divisors (60179037408).

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

18381434400 is a wasteful number, since it uses less digits than its factorization.

18381434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 18381434400 in words is "eighteen billion, three hundred eighty-one million, four hundred thirty-four thousand, four hundred".