846179971648 has 112 divisors (see below), whose sum is σ = 1935272736000. Its totient is φ = 363462471680.

The previous prime is 846179971643. The next prime is 846179971669.

846179971648 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (846179971643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518628 + ... + 1400476.

Almost surely, 2^846179971648 is an apocalyptic number.

846179971648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846179971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967636368000).

846179971648 is an abundant number, since it is smaller than the sum of its proper divisors (1089092764352).

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

846179971648 is a wasteful number, since it uses less digits than its factorization.

846179971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881948 (or 881938 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 70.

The spelling of 846179971648 in words is "eight hundred forty-six billion, one hundred seventy-nine million, nine hundred seventy-one thousand, six hundred forty-eight".