849753357948 has 144 divisors (see below), whose sum is σ = 2487172353120. Its totient is φ = 241760563200.

The previous prime is 849753357907. The next prime is 849753357961.

849753357948 is a `hidden beast` number, since 8 + 4 + 9 + 7 + 5 + 3 + 3 + 579 + 48 = 666.

849753357948 is nontrivially palindromic in base 10.

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, 2599078 + ... + 2907698.

It is an arithmetic number, because the mean of its divisors is an integer number (17272030230).

Almost surely, 2^849753357948 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 849753357948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243586176560).

849753357948 is an abundant number, since it is smaller than the sum of its proper divisors (1637418995172).

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

849753357948 is a wasteful number, since it uses less digits than its factorization.

849753357948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309068 (or 309063 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 849753357948 in words is "eight hundred forty-nine billion, seven hundred fifty-three million, three hundred fifty-seven thousand, nine hundred forty-eight".