33386850945 has 240 divisors, whose sum is σ = 73216344960. Its totient is φ = 14485008384.

The previous prime is 33386850929. The next prime is 33386850949. The reversal of 33386850945 is 54905868333.

It is a happy number.

33386850945 is a `hidden beast` number, since 3 + 3 + 38 + 68 + 509 + 45 = 666.

It is not a de Polignac number, because 33386850945 - 2⁴ = 33386850929 is a prime.

It is a super-2 number, since 2×33386850945² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33386850891 and 33386850900.

It is not an unprimeable number, because it can be changed into a prime (33386850949) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 88091766 + ... + 88092144.

It is an arithmetic number, because the mean of its divisors is an integer number (305068104).

Almost surely, 2^33386850945 is an apocalyptic number.

33386850945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33386850945 is an abundant number, since it is smaller than the sum of its proper divisors (39829494015).

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

33386850945 is a wasteful number, since it uses less digits than its factorization.

33386850945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 33386850945 in words is "thirty-three billion, three hundred eighty-six million, eight hundred fifty thousand, nine hundred forty-five".