18309148240 has 80 divisors (see below), whose sum is σ = 45109144080. Its totient is φ = 6887301120.

The previous prime is 18309148211. The next prime is 18309148241. The reversal of 18309148240 is 4284190381.

It can be written as a sum of positive squares in 8 ways, for example, as 1340438544 + 16968709696 = 36612^2 + 130264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 18309148193 and 18309148202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18309148241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1938730 + ... + 1948150.

It is an arithmetic number, because the mean of its divisors is an integer number (563864301).

Almost surely, 2^18309148240 is an apocalyptic number.

18309148240 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 18309148240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22554572040).

18309148240 is an abundant number, since it is smaller than the sum of its proper divisors (26799995840).

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

18309148240 is a wasteful number, since it uses less digits than its factorization.

18309148240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10880 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 18309148240 in words is "eighteen billion, three hundred nine million, one hundred forty-eight thousand, two hundred forty".