18864102348 has 288 divisors, whose sum is σ = 63454576640. Its totient is φ = 4585351680.

The previous prime is 18864102347. The next prime is 18864102403. The reversal of 18864102348 is 84320146881.

It is a super-4 number, since 4×18864102348⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (18864102347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2298933 + ... + 2307123.

Almost surely, 2^18864102348 is an apocalyptic number.

18864102348 is a gapful number since it is divisible by the number (18) 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 18864102348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31727288320).

18864102348 is an abundant number, since it is smaller than the sum of its proper divisors (44590474292).

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

18864102348 is a wasteful number, since it uses less digits than its factorization.

18864102348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 18864102348 in words is "eighteen billion, eight hundred sixty-four million, one hundred two thousand, three hundred forty-eight".