845391193548 has 96 divisors (see below), whose sum is σ = 2171553656832. Its totient is φ = 253841280000.

The previous prime is 845391193541. The next prime is 845391193579.

It is a happy number.

845391193548 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 845391193491 and 845391193500.

It is not an unprimeable number, because it can be changed into a prime (845391193541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82047765 + ... + 82058067.

It is an arithmetic number, because the mean of its divisors is an integer number (22620350592).

Almost surely, 2^845391193548 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 845391193548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085776828416).

845391193548 is an abundant number, since it is smaller than the sum of its proper divisors (1326162463284).

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

845391193548 is a wasteful number, since it uses less digits than its factorization.

845391193548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15935 (or 15933 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The spelling of 845391193548 in words is "eight hundred forty-five billion, three hundred ninety-one million, one hundred ninety-three thousand, five hundred forty-eight".