133216066368 has 672 divisors, whose sum is σ = 499734230400. Its totient is φ = 34410700800.

The previous prime is 133216066351. The next prime is 133216066397. The reversal of 133216066368 is 863660612331.

133216066368 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 6 + 0 + 6 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×133216066368² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261720898 + ... + 261721406.

Almost surely, 2^133216066368 is an apocalyptic number.

133216066368 is a gapful number since it is divisible by the number (18) 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 133216066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249867115200).

133216066368 is an abundant number, since it is smaller than the sum of its proper divisors (366518164032).

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

133216066368 is a wasteful number, since it uses less digits than its factorization.

133216066368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

Adding to 133216066368 its reverse (863660612331), we get a palindrome (996876678699).

The spelling of 133216066368 in words is "one hundred thirty-three billion, two hundred sixteen million, sixty-six thousand, three hundred sixty-eight".