845646381216 has 576 divisors, whose sum is σ = 3037340097792. Its totient is φ = 217212420096.

The previous prime is 845646381143. The next prime is 845646381233. The reversal of 845646381216 is 612183646548.

845646381216 is a `hidden beast` number, since 8 + 4 + 5 + 6 + 46 + 381 + 216 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487965886 + ... + 487967618.

It is an arithmetic number, because the mean of its divisors is an integer number (5273159892).

Almost surely, 2^845646381216 is an apocalyptic number.

845646381216 is a gapful number since it is divisible by the number (86) 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 845646381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518670048896).

845646381216 is an abundant number, since it is smaller than the sum of its proper divisors (2191693716576).

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

845646381216 is a wasteful number, since it uses less digits than its factorization.

845646381216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2234 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 845646381216 in words is "eight hundred forty-five billion, six hundred forty-six million, three hundred eighty-one thousand, two hundred sixteen".