165933452916 has 288 divisors, whose sum is σ = 572800999680. Its totient is φ = 39165235200.

The previous prime is 165933452897. The next prime is 165933452917. The reversal of 165933452916 is 619254339561.

165933452916 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 3 + 345 + 291 + 6 = 666.

165933452916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165933452917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1305886 + ... + 1427306.

It is an arithmetic number, because the mean of its divisors is an integer number (1988892360).

Almost surely, 2^165933452916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165933452916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286400499840).

165933452916 is an abundant number, since it is smaller than the sum of its proper divisors (406867546764).

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

165933452916 is a wasteful number, since it uses less digits than its factorization.

165933452916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121495 (or 121490 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 165933452916 in words is "one hundred sixty-five billion, nine hundred thirty-three million, four hundred fifty-two thousand, nine hundred sixteen".