18764312448 has 384 divisors, whose sum is σ = 61953984000. Its totient is φ = 5002518528.

The previous prime is 18764312417. The next prime is 18764312459. The reversal of 18764312448 is 84421346781.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18764312397 and 18764312406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26097433 + ... + 26098151.

It is an arithmetic number, because the mean of its divisors is an integer number (161338500).

Almost surely, 2^18764312448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18764312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30976992000).

18764312448 is an abundant number, since it is smaller than the sum of its proper divisors (43189671552).

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

18764312448 is a wasteful number, since it uses less digits than its factorization.

18764312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 823 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The spelling of 18764312448 in words is "eighteen billion, seven hundred sixty-four million, three hundred twelve thousand, four hundred forty-eight".