33868121406 has 64 divisors (see below), whose sum is σ = 77897064960. Its totient is φ = 9616199040.

The previous prime is 33868121387. The next prime is 33868121407. The reversal of 33868121406 is 60412186833.

It is a super-2 number, since 2×33868121406² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33868121407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9174021 + ... + 9177711.

It is an arithmetic number, because the mean of its divisors is an integer number (1217141640).

Almost surely, 2^33868121406 is an apocalyptic number.

33868121406 is an abundant number, since it is smaller than the sum of its proper divisors (44028943554).

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

33868121406 is a wasteful number, since it uses less digits than its factorization.

33868121406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009.

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 33868121406 in words is "thirty-three billion, eight hundred sixty-eight million, one hundred twenty-one thousand, four hundred six".