6403312133046 has 24 divisors (see below), whose sum is σ = 13878583022304. Its totient is φ = 2133708136560.

The previous prime is 6403312133041. The next prime is 6403312133123.

6403312133046 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 312 + 1 + 330 + 4 + 6 = 666.

6403312133046 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6403312133046² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6403312133046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6403312133041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60715945 + ... + 60821316.

It is an arithmetic number, because the mean of its divisors is an integer number (578274292596).

Almost surely, 2^{6403312133046} is an apocalyptic number.

6403312133046 is an abundant number, since it is smaller than the sum of its proper divisors (7475270889258).

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

6403312133046 is a wasteful number, since it uses less digits than its factorization.

6403312133046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121540196 (or 121540193 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 6403312133046 in words is "six trillion, four hundred three billion, three hundred twelve million, one hundred thirty-three thousand, forty-six".