18961313448 has 128 divisors (see below), whose sum is σ = 59147781120. Its totient is φ = 4921052160.

The previous prime is 18961313389. The next prime is 18961313461. The reversal of 18961313448 is 84431316981.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18961313397 and 18961313406.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2811136 + ... + 2817872.

It is an arithmetic number, because the mean of its divisors is an integer number (462092040).

Almost surely, 2^18961313448 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 18961313448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29573890560).

18961313448 is an abundant number, since it is smaller than the sum of its proper divisors (40186467672).

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

18961313448 is a wasteful number, since it uses less digits than its factorization.

18961313448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287 (or 8283 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The spelling of 18961313448 in words is "eighteen billion, nine hundred sixty-one million, three hundred thirteen thousand, four hundred forty-eight".