18964482048 has 288 divisors, whose sum is σ = 57953750400. Its totient is φ = 6193594368.

The previous prime is 18964482037. The next prime is 18964482059. The reversal of 18964482048 is 84028446981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18964482037) and next prime (18964482059).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18964481985 and 18964482003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26375833 + ... + 26376551.

It is an arithmetic number, because the mean of its divisors is an integer number (201228300).

Almost surely, 2^18964482048 is an apocalyptic number.

18964482048 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 18964482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28976875200).

18964482048 is an abundant number, since it is smaller than the sum of its proper divisors (38989268352).

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

18964482048 is an frugal number, since it uses more digits than its factorization.

18964482048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 18964482048 in words is "eighteen billion, nine hundred sixty-four million, four hundred eighty-two thousand, forty-eight".