18101012911800 has 768 divisors, whose sum is σ = 74908505548800. Its totient is φ = 3506783846400.

The previous prime is 18101012911777. The next prime is 18101012911811. The reversal of 18101012911800 is 811921010181.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37818381 + ... + 38294019.

It is an arithmetic number, because the mean of its divisors is an integer number (97537116600).

Almost surely, 2^{18101012911800} is an apocalyptic number.

18101012911800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18101012911800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37454252774400).

18101012911800 is an abundant number, since it is smaller than the sum of its proper divisors (56807492637000).

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

18101012911800 is a wasteful number, since it uses less digits than its factorization.

18101012911800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475736 (or 475727 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 33.

Adding to 18101012911800 its reverse (811921010181), we get a palindrome (18912933921981).

The spelling of 18101012911800 in words is "eighteen trillion, one hundred one billion, twelve million, nine hundred eleven thousand, eight hundred".