33345681664 has 81 divisors (see below), whose sum is σ = 67826843539. Its totient is φ = 16361676800.

The previous prime is 33345681661. The next prime is 33345681671. The reversal of 33345681664 is 46618654333.

The square root of 33345681664 is 182608.

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

It can be written as a sum of positive squares in 4 ways, for example, as 145926400 + 33199755264 = 12080^2 + 182208^2 .

It is a super-2 number, since 2×33345681664² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (3732480) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (33345681661) 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, 295094472 + ... + 295094584.

Almost surely, 2^33345681664 is an apocalyptic number.

33345681664 is the 182608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33345681664

33345681664 is an abundant number, since it is smaller than the sum of its proper divisors (34481161875).

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

33345681664 is an frugal number, since it uses more digits than its factorization.

33345681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 216 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 49.

Multiplying 33345681664 by its sum of digits (49), we get a square (1633938401536 = 1278256²).

The spelling of 33345681664 in words is "thirty-three billion, three hundred forty-five million, six hundred eighty-one thousand, six hundred sixty-four".