33105074704 has 45 divisors (see below), whose sum is σ = 69474400173. Its totient is φ = 15274898496.

The previous prime is 33105074693. The next prime is 33105074711. The reversal of 33105074704 is 40747050133.

The square root of 33105074704 is 181948.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4897200400 + 28207874304 = 69980^2 + 167952^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33105074704.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9459547 + ... + 9463045.

Almost surely, 2^33105074704 is an apocalyptic number.

33105074704 is the 181948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33105074704

33105074704 is an abundant number, since it is smaller than the sum of its proper divisors (36369325469).

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

33105074704 is an frugal number, since it uses more digits than its factorization.

33105074704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The spelling of 33105074704 in words is "thirty-three billion, one hundred five million, seventy-four thousand, seven hundred four".