33242227091136 has 448 divisors, whose sum is σ = 118357659509760. Its totient is φ = 8931451944960.

The previous prime is 33242227091077. The next prime is 33242227091197. The reversal of 33242227091136 is 63119072224233.

33242227091136 is a `hidden beast` number, since 3 + 3 + 2 + 422 + 2 + 7 + 0 + 91 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×33242227091136² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33242227091091 and 33242227091100.

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 63 ways as a sum of consecutive naturals, for example, 242782951 + ... + 242919833.

Almost surely, 2^{33242227091136} is an apocalyptic number.

33242227091136 is a gapful number since it is divisible by the number (36) 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 33242227091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59178829754880).

33242227091136 is an abundant number, since it is smaller than the sum of its proper divisors (85115432418624).

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

33242227091136 is a wasteful number, since it uses less digits than its factorization.

33242227091136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138109 (or 138093 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 33242227091136 in words is "thirty-three trillion, two hundred forty-two billion, two hundred twenty-seven million, ninety-one thousand, one hundred thirty-six".