18033696492100 has 27 divisors (see below), whose sum is σ = 39133213539511. Its totient is φ = 7213461610400.

The previous prime is 18033696492047. The next prime is 18033696492109. The reversal of 18033696492100 is 129469633081.

It is a happy number.

The square root of 18033696492100 is 4246610.

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 8872856242756 + 9160840249344 = 2978734^2 + 3026688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18033696492109) 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, 42253770 + ... + 42678430.

Almost surely, 2^{18033696492100} is an apocalyptic number.

18033696492100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18033696492100 is the 4246610-th square number.

It is an amenable number.

18033696492100 is an abundant number, since it is smaller than the sum of its proper divisors (21099517047411).

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

18033696492100 is an frugal number, since it uses more digits than its factorization.

18033696492100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849336 (or 424668 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 18033696492100 in words is "eighteen trillion, thirty-three billion, six hundred ninety-six million, four hundred ninety-two thousand, one hundred".