846346533201 has 96 divisors (see below), whose sum is σ = 1446618700800. Its totient is φ = 472131348480.

The previous prime is 846346533169. The next prime is 846346533223. The reversal of 846346533201 is 102335643648.

846346533201 is a `hidden beast` number, since 8 + 4 + 634 + 6 + 5 + 3 + 3 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 846346533201 - 2⁵ = 846346533169 is a prime.

It is a super-2 number, since 2×846346533201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (846346533001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6064261 + ... + 6202253.

It is an arithmetic number, because the mean of its divisors is an integer number (15068944800).

Almost surely, 2^846346533201 is an apocalyptic number.

It is an amenable number.

846346533201 is a deficient number, since it is larger than the sum of its proper divisors (600272167599).

846346533201 is a wasteful number, since it uses less digits than its factorization.

846346533201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138151 (or 138148 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 846346533201 in words is "eight hundred forty-six billion, three hundred forty-six million, five hundred thirty-three thousand, two hundred one".