33634106405 has 16 divisors (see below), whose sum is σ = 40787518464. Its totient is φ = 26623034880.

The previous prime is 33634106291. The next prime is 33634106423. The reversal of 33634106405 is 50460143633.

It is a de Polignac number, because none of the positive numbers 2^k-33634106405 is a prime.

It is a super-2 number, since 2×33634106405² (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 15 ways as a sum of consecutive naturals, for example, 2763764 + ... + 2775906.

It is an arithmetic number, because the mean of its divisors is an integer number (2549219904).

Almost surely, 2^33634106405 is an apocalyptic number.

It is an amenable number.

33634106405 is a deficient number, since it is larger than the sum of its proper divisors (7153412059).

33634106405 is a wasteful number, since it uses less digits than its factorization.

33634106405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17956.

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 33634106405 in words is "thirty-three billion, six hundred thirty-four million, one hundred six thousand, four hundred five".