33385136656 has 45 divisors (see below), whose sum is σ = 68738026669. Its totient is φ = 15704805632.

The previous prime is 33385136651. The next prime is 33385136657. The reversal of 33385136656 is 65663158333.

The square root of 33385136656 is 182716.

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., 25991888400 + 7393248256 = 161220^2 + 85984^2 .

It is a super-2 number, since 2×33385136656² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33385136651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12423345 + ... + 12426031.

Almost surely, 2^33385136656 is an apocalyptic number.

33385136656 is the 182716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33385136656

33385136656 is an abundant number, since it is smaller than the sum of its proper divisors (35352890013).

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

33385136656 is an frugal number, since it uses more digits than its factorization.

33385136656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416 (or 2706 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 49.

Multiplying 33385136656 by its sum of digits (49), we get a square (1635871696144 = 1279012²).

The spelling of 33385136656 in words is "thirty-three billion, three hundred eighty-five million, one hundred thirty-six thousand, six hundred fifty-six".