18303166368400 has 135 divisors (see below), whose sum is σ = 46715894835771. Its totient is φ = 6890056197120.

The previous prime is 18303166368397. The next prime is 18303166368401. The reversal of 18303166368400 is 486366130381.

The square root of 18303166368400 is 4278220.

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

It can be written as a sum of positive squares in 4 ways, for example, as 428129427856 + 17875036940544 = 654316^2 + 4227888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18303166368401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1454588509 + ... + 1454601091.

Almost surely, 2^{18303166368400} is an apocalyptic number.

18303166368400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18303166368400 is the 4278220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18303166368400

18303166368400 is an abundant number, since it is smaller than the sum of its proper divisors (28412728467371).

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

18303166368400 is an frugal number, since it uses more digits than its factorization.

18303166368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25218 (or 12607 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 18303166368400 by its sum of digits (49), we get a square (896855152051600 = 29947540²).

The spelling of 18303166368400 in words is "eighteen trillion, three hundred three billion, one hundred sixty-six million, three hundred sixty-eight thousand, four hundred".