18489312006400 has 243 divisors, whose sum is σ = 46603899683173. Its totient is φ = 7262392883200.

The previous prime is 18489312006313. The next prime is 18489312006409. The reversal of 18489312006400 is 460021398481.

The square root of 18489312006400 is 4299920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6656152322304 + 11833159684096 = 2579952^2 + 3439936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18489312006409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20295621945 + ... + 20295622855.

Almost surely, 2^{18489312006400} is an apocalyptic number.

18489312006400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18489312006400 is the 4299920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18489312006400

18489312006400 is an abundant number, since it is smaller than the sum of its proper divisors (28114587676773).

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

18489312006400 is an frugal number, since it uses more digits than its factorization.

18489312006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 18489312006400 in words is "eighteen trillion, four hundred eighty-nine billion, three hundred twelve million, six thousand, four hundred".