18669119040 has 756 divisors, whose sum is σ = 76670478612. Its totient is φ = 4164526080.

The previous prime is 18669119039. The next prime is 18669119071. The reversal of 18669119040 is 4091196681.

It can be written as a sum of positive squares in 6 ways, for example, as 8392025664 + 10277093376 = 91608^2 + 101376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 58892962 + ... + 58893278.

It is an arithmetic number, because the mean of its divisors is an integer number (101415977).

Almost surely, 2^18669119040 is an apocalyptic number.

18669119040 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 18669119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38335239306).

18669119040 is an abundant number, since it is smaller than the sum of its proper divisors (58001359572).

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

18669119040 is a wasteful number, since it uses less digits than its factorization.

18669119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 18669119040 in words is "eighteen billion, six hundred sixty-nine million, one hundred nineteen thousand, forty".