18738131841280 has 36 divisors (see below), whose sum is σ = 44883681429132. Its totient is φ = 7495252736000.

The previous prime is 18738131841277. The next prime is 18738131841287. The reversal of 18738131841280 is 8214813183781.

It can be written as a sum of positive squares in 2 ways, for example, as 7146340413696 + 11591791427584 = 2673264^2 + 3404672^2 .

It is a super-2 number, since 2×18738131841280² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18738131841287) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7319581471 + ... + 7319584030.

It is an arithmetic number, because the mean of its divisors is an integer number (1246768928587).

Almost surely, 2^{18738131841280} is an apocalyptic number.

18738131841280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18738131841280 is an abundant number, since it is smaller than the sum of its proper divisors (26145549587852).

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

18738131841280 is an equidigital number, since it uses as much as digits as its factorization.

18738131841280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14639165522 (or 14639165508 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 55.

The spelling of 18738131841280 in words is "eighteen trillion, seven hundred thirty-eight billion, one hundred thirty-one million, eight hundred forty-one thousand, two hundred eighty".