33625313406 has 80 divisors (see below), whose sum is σ = 76763644848. Its totient is φ = 10998374400.

The previous prime is 33625313377. The next prime is 33625313483. The reversal of 33625313406 is 60431352633.

33625313406 is a `hidden beast` number, since 33 + 62 + 531 + 34 + 0 + 6 = 666.

It is a super-2 number, since 2×33625313406² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4373886 + ... + 4381566.

Almost surely, 2^33625313406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33625313406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38381822424).

33625313406 is an abundant number, since it is smaller than the sum of its proper divisors (43138331442).

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

33625313406 is a wasteful number, since it uses less digits than its factorization.

33625313406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8199 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 33625313406 in words is "thirty-three billion, six hundred twenty-five million, three hundred thirteen thousand, four hundred six".