133383822264 has 768 divisors, whose sum is σ = 499973160960. Its totient is φ = 31062528000.

The previous prime is 133383822241. The next prime is 133383822277. The reversal of 133383822264 is 462228383331.

133383822264 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 8 + 382 + 2 + 264 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207439527 + ... + 207440169.

It is an arithmetic number, because the mean of its divisors is an integer number (651006720).

Almost surely, 2^133383822264 is an apocalyptic number.

133383822264 is a gapful number since it is divisible by the number (14) 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 133383822264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249986580480).

133383822264 is an abundant number, since it is smaller than the sum of its proper divisors (366589338696).

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

133383822264 is a wasteful number, since it uses less digits than its factorization.

133383822264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 785 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 133383822264 in words is "one hundred thirty-three billion, three hundred eighty-three million, eight hundred twenty-two thousand, two hundred sixty-four".