18310611228100 has 81 divisors (see below), whose sum is σ = 39906460660941. Its totient is φ = 7292596341600.

The previous prime is 18310611228097. The next prime is 18310611228101. The reversal of 18310611228100 is 182211601381.

The square root of 18310611228100 is 4279090.

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

It can be written as a sum of positive squares in only one way, i.e., 6591820042116 + 11718791185984 = 2567454^2 + 3423272^2 .

It is a super-2 number, since 2×18310611228100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18310611228101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11596333111 + ... + 11596334689.

Almost surely, 2^{18310611228100} is an apocalyptic number.

18310611228100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18310611228100 is the 4279090-th square number.

It is an amenable number.

18310611228100 is an abundant number, since it is smaller than the sum of its proper divisors (21595849432841).

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

18310611228100 is an frugal number, since it uses more digits than its factorization.

18310611228100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

Adding to 18310611228100 its reverse (182211601381), we get a palindrome (18492822829481).

The spelling of 18310611228100 in words is "eighteen trillion, three hundred ten billion, six hundred eleven million, two hundred twenty-eight thousand, one hundred".