18874368000 has 300 divisors, whose sum is σ = 68048386068. Its totient is φ = 5033164800.

The previous prime is 18874367977. The next prime is 18874368001. The reversal of 18874368000 is 86347881.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 603979776 + 18270388224 = 24576^2 + 135168^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18874368001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3774873598 + ... + 3774873602.

Almost surely, 2^18874368000 is an apocalyptic number.

18874368000 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 18874368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34024193034).

18874368000 is an abundant number, since it is smaller than the sum of its proper divisors (49174018068).

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

18874368000 is an frugal number, since it uses more digits than its factorization.

18874368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

Multiplying 18874368000 by its sum of digits (45), we get a 4-th power (849346560000 = 960⁴).

18874368000 divided by its sum of digits (45) gives a square (419430400 = 20480²).

The spelling of 18874368000 in words is "eighteen billion, eight hundred seventy-four million, three hundred sixty-eight thousand".