846369963648 has 288 divisors, whose sum is σ = 2679230736000. Its totient is φ = 256267545600.

The previous prime is 846369963631. The next prime is 846369963709.

846369963648 is a `hidden beast` number, since 8 + 463 + 6 + 9 + 96 + 36 + 48 = 666.

846369963648 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 334400143 + ... + 334402673.

It is an arithmetic number, because the mean of its divisors is an integer number (9302884500).

Almost surely, 2^846369963648 is an apocalyptic number.

846369963648 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 846369963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339615368000).

846369963648 is an abundant number, since it is smaller than the sum of its proper divisors (1832860772352).

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

846369963648 is a wasteful number, since it uses less digits than its factorization.

846369963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4946 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 72.

The spelling of 846369963648 in words is "eight hundred forty-six billion, three hundred sixty-nine million, nine hundred sixty-three thousand, six hundred forty-eight".