18001743100 has 72 divisors (see below), whose sum is σ = 42798541968. Its totient is φ = 6517900800.

The previous prime is 18001743083. The next prime is 18001743167. The reversal of 18001743100 is 134710081.

It is a super-2 number, since 2×18001743100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221182 + ... + 291418.

It is an arithmetic number, because the mean of its divisors is an integer number (594424194).

Almost surely, 2^18001743100 is an apocalyptic number.

18001743100 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 18001743100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21399270984).

18001743100 is an abundant number, since it is smaller than the sum of its proper divisors (24796798868).

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

18001743100 is a wasteful number, since it uses less digits than its factorization.

18001743100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70495 (or 70488 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The spelling of 18001743100 in words is "eighteen billion, one million, seven hundred forty-three thousand, one hundred".