33923745856 has 567 divisors, whose sum is σ = 97433081613. Its totient is φ = 11669898240.

The previous prime is 33923745851. The next prime is 33923745857. The reversal of 33923745856 is 65854732933.

The square root of 33923745856 is 184184.

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., 5018305600 + 28905440256 = 70840^2 + 170016^2 .

Its product of digits (16329600) is a multiple of the sum of its prime divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 33923745797 and 33923745806.

It is not an unprimeable number, because it can be changed into a prime (33923745851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1474945461 + ... + 1474945483.

Almost surely, 2^33923745856 is an apocalyptic number.

33923745856 is the 184184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33923745856

33923745856 is an abundant number, since it is smaller than the sum of its proper divisors (63509335757).

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

33923745856 is a wasteful number, since it uses less digits than its factorization.

33923745856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 56 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 55.

The spelling of 33923745856 in words is "thirty-three billion, nine hundred twenty-three million, seven hundred forty-five thousand, eight hundred fifty-six".