18288394030400 has 84 divisors (see below), whose sum is σ = 48462485736252. Its totient is φ = 6752637788160.

The previous prime is 18288394030393. The next prime is 18288394030447. The reversal of 18288394030400 is 403049388281.

It can be written as a sum of positive squares in 6 ways, for example, as 7409109793024 + 10879284237376 = 2721968^2 + 3298376^2 .

It is a super-2 number, since 2×18288394030400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439604057 + ... + 439645656.

It is an arithmetic number, because the mean of its divisors is an integer number (576934354003).

Almost surely, 2^{18288394030400} is an apocalyptic number.

18288394030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18288394030400 is an abundant number, since it is smaller than the sum of its proper divisors (30174091705852).

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

18288394030400 is a wasteful number, since it uses less digits than its factorization.

18288394030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879249748 (or 879249733 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 18288394030400 in words is "eighteen trillion, two hundred eighty-eight billion, three hundred ninety-four million, thirty thousand, four hundred".