133268346667632 has 160 divisors (see below), whose sum is σ = 375813510395904. Its totient is φ = 40358647929600.

The previous prime is 133268346667553. The next prime is 133268346667649. The reversal of 133268346667632 is 236766643862331.

It is a super-4 number, since 4×133268346667632⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8916052383 + ... + 8916067329.

Almost surely, 2^{133268346667632} is an apocalyptic number.

133268346667632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133268346667632 is an abundant number, since it is smaller than the sum of its proper divisors (242545163728272).

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

133268346667632 is a wasteful number, since it uses less digits than its factorization.

133268346667632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24587 (or 24581 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 66.

The spelling of 133268346667632 in words is "one hundred thirty-three trillion, two hundred sixty-eight billion, three hundred forty-six million, six hundred sixty-seven thousand, six hundred thirty-two".