165707432352 has 432 divisors, whose sum is σ = 623132153280. Its totient is φ = 40774440960.

The previous prime is 165707432351. The next prime is 165707432377. The reversal of 165707432352 is 253234707561.

165707432352 is a `hidden beast` number, since 1 + 6 + 570 + 7 + 4 + 3 + 23 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165707432298 and 165707432307.

It is not an unprimeable number, because it can be changed into a prime (165707432351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4616908 + ... + 4652660.

It is an arithmetic number, because the mean of its divisors is an integer number (1442435540).

Almost surely, 2^165707432352 is an apocalyptic number.

165707432352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165707432352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311566076640).

165707432352 is an abundant number, since it is smaller than the sum of its proper divisors (457424720928).

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

165707432352 is a wasteful number, since it uses less digits than its factorization.

165707432352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35817 (or 35795 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 165707432352 in words is "one hundred sixty-five billion, seven hundred seven million, four hundred thirty-two thousand, three hundred fifty-two".