18141396100 has 27 divisors (see below), whose sum is σ = 39369752527. Its totient is φ = 7256019680.

The previous prime is 18141396067. The next prime is 18141396109. The reversal of 18141396100 is 169314181.

The square root of 18141396100 is 134690.

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 538756 + 18140857344 = 734^2 + 134688^2 .

It is a super-2 number, since 2×18141396100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18141396109) 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 8 ways as a sum of consecutive naturals, for example, 1340166 + ... + 1353634.

Almost surely, 2^18141396100 is an apocalyptic number.

18141396100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18141396100 is the 134690-th square number.

It is an amenable number.

18141396100 is an abundant number, since it is smaller than the sum of its proper divisors (21228356427).

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

18141396100 is an frugal number, since it uses more digits than its factorization.

18141396100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26952 (or 13476 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

Multiplying 18141396100 by its product of nonzero digits (5184), we get a square (94044997382400 = 9697680²).

The spelling of 18141396100 in words is "eighteen billion, one hundred forty-one million, three hundred ninety-six thousand, one hundred".