7857144448 has 64 divisors (see below), whose sum is σ = 16353472320. Its totient is φ = 3753164800.

The previous prime is 7857144443. The next prime is 7857144469. The reversal of 7857144448 is 8444417587.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 7857144395 and 7857144404.

It is not an unprimeable number, because it can be changed into a prime (7857144443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4712511 + ... + 4714177.

It is an arithmetic number, because the mean of its divisors is an integer number (255523005).

Almost surely, 2^7857144448 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 7857144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176736160).

7857144448 is an abundant number, since it is smaller than the sum of its proper divisors (8496327872).

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

7857144448 is a wasteful number, since it uses less digits than its factorization.

7857144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3293 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 52.

The square root of 7857144448 is about 88640.5350164359. The cubic root of 7857144448 is about 1988.0237991178.

The spelling of 7857144448 in words is "seven billion, eight hundred fifty-seven million, one hundred forty-four thousand, four hundred forty-eight".