33233979771664 has 135 divisors (see below), whose sum is σ = 75318091659783. Its totient is φ = 14164754716224.

The previous prime is 33233979771647. The next prime is 33233979771689. The reversal of 33233979771664 is 46617797933233.

The square root of 33233979771664 is 5764892.

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

It is a super-2 number, since 2×33233979771664² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33233979771593 and 33233979771602.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36641653099 + ... + 36641654005.

Almost surely, 2^{33233979771664} is an apocalyptic number.

33233979771664 is the 5764892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33233979771664

33233979771664 is an abundant number, since it is smaller than the sum of its proper divisors (42084111888119).

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

33233979771664 is an frugal number, since it uses more digits than its factorization.

33233979771664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 1143 counting only the distinct ones).

The product of its digits is 648121824, while the sum is 70.

The spelling of 33233979771664 in words is "thirty-three trillion, two hundred thirty-three billion, nine hundred seventy-nine million, seven hundred seventy-one thousand, six hundred sixty-four".