846101201022 has 192 divisors, whose sum is σ = 2296072396800. Its totient is φ = 218759365440.

The previous prime is 846101201017. The next prime is 846101201027. The reversal of 846101201022 is 220102101648.

846101201022 is a `hidden beast` number, since 8 + 4 + 610 + 1 + 20 + 1 + 0 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (846101201017) and next prime (846101201027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846101201027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361735129 + ... + 361737467.

It is an arithmetic number, because the mean of its divisors is an integer number (11958710400).

Almost surely, 2^846101201022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846101201022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148036198400).

846101201022 is an abundant number, since it is smaller than the sum of its proper divisors (1449971195778).

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

846101201022 is a wasteful number, since it uses less digits than its factorization.

846101201022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 846101201022 in words is "eight hundred forty-six billion, one hundred one million, two hundred one thousand, twenty-two".