18546869760 has 160 divisors (see below), whose sum is σ = 62413148160. Its totient is φ = 4685488128.

The previous prime is 18546869701. The next prime is 18546869777. The reversal of 18546869760 is 6796864581.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 18546869694 and 18546869703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82369 + ... + 209471.

It is an arithmetic number, because the mean of its divisors is an integer number (390082176).

Almost surely, 2^18546869760 is an apocalyptic number.

18546869760 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 18546869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31206574080).

18546869760 is an abundant number, since it is smaller than the sum of its proper divisors (43866278400).

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

18546869760 is a wasteful number, since it uses less digits than its factorization.

18546869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127148 (or 127132 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 18546869760 in words is "eighteen billion, five hundred forty-six million, eight hundred sixty-nine thousand, seven hundred sixty".