33386706125 has 36 divisors (see below), whose sum is σ = 42538358772. Its totient is φ = 26161874400.

The previous prime is 33386706071. The next prime is 33386706139. The reversal of 33386706125 is 52160768333.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 22493400484 + 10893305641 = 149978^2 + 104371^2 .

It is not a de Polignac number, because 33386706125 - 2⁶ = 33386706061 is a prime.

It is a super-2 number, since 2×33386706125² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120529487 + ... + 120529763.

It is an arithmetic number, because the mean of its divisors is an integer number (1181621077).

Almost surely, 2^33386706125 is an apocalyptic number.

It is an amenable number.

33386706125 is a deficient number, since it is larger than the sum of its proper divisors (9151652647).

33386706125 is an frugal number, since it uses more digits than its factorization.

33386706125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 33386706125 in words is "thirty-three billion, three hundred eighty-six million, seven hundred six thousand, one hundred twenty-five".