46133299296 has 864 divisors, whose sum is σ = 176461740000. Its totient is φ = 11314888704.

The previous prime is 46133299259. The next prime is 46133299297. The reversal of 46133299296 is 69299233164.

46133299296 is a `hidden beast` number, since 4 + 61 + 3 + 3 + 299 + 296 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46133299297) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132186930 + ... + 132187278.

It is an arithmetic number, because the mean of its divisors is an integer number (204238125).

Almost surely, 2^46133299296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46133299296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88230870000).

46133299296 is an abundant number, since it is smaller than the sum of its proper divisors (130328440704).

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

46133299296 is a wasteful number, since it uses less digits than its factorization.

46133299296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The spelling of 46133299296 in words is "forty-six billion, one hundred thirty-three million, two hundred ninety-nine thousand, two hundred ninety-six".