33749701881168 has 160 divisors (see below), whose sum is σ = 107333986185216. Its totient is φ = 8898760594944.

The previous prime is 33749701881151. The next prime is 33749701881223. The reversal of 33749701881168 is 86118810794733.

It is a super-2 number, since 2×33749701881168² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33749701881099 and 33749701881108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16261705 + ... + 18219287.

Almost surely, 2^{33749701881168} 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 33749701881168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53666993092608).

33749701881168 is an abundant number, since it is smaller than the sum of its proper divisors (73584284304048).

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

33749701881168 is a wasteful number, since it uses less digits than its factorization.

33749701881168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961561 (or 1961555 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 33749701881168 in words is "thirty-three trillion, seven hundred forty-nine billion, seven hundred one million, eight hundred eighty-one thousand, one hundred sixty-eight".