33384966689088 has 896 divisors, whose sum is σ = 118958729011200. Its totient is φ = 8968749318144.

The previous prime is 33384966689083. The next prime is 33384966689093. The reversal of 33384966689088 is 88098666948333.

It is an interprime number because it is at equal distance from previous prime (33384966689083) and next prime (33384966689093).

It is a super-2 number, since 2×33384966689088² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33384966688998 and 33384966689016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33384966689083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32956531270 + ... + 32956532282.

Almost surely, 2^{33384966689088} is an apocalyptic number.

33384966689088 is a gapful number since it is divisible by the number (38) 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 33384966689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59479364505600).

33384966689088 is an abundant number, since it is smaller than the sum of its proper divisors (85573762322112).

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

33384966689088 is a wasteful number, since it uses less digits than its factorization.

33384966689088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 7739670528, while the sum is 81.

The spelling of 33384966689088 in words is "thirty-three trillion, three hundred eighty-four billion, nine hundred sixty-six million, six hundred eighty-nine thousand, eighty-eight".