165107682432 has 768 divisors, whose sum is σ = 618760396800. Its totient is φ = 41007513600.

The previous prime is 165107682431. The next prime is 165107682433. The reversal of 165107682432 is 234286701561.

165107682432 is a `hidden beast` number, since 1 + 65 + 10 + 76 + 82 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (165107682431) and next prime (165107682433).

It is a super-2 number, since 2×165107682432² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165107682431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266732619 + ... + 266733237.

It is an arithmetic number, because the mean of its divisors is an integer number (805677600).

Almost surely, 2^165107682432 is an apocalyptic number.

165107682432 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 165107682432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309380198400).

165107682432 is an abundant number, since it is smaller than the sum of its proper divisors (453652714368).

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

165107682432 is a wasteful number, since it uses less digits than its factorization.

165107682432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 165107682432 in words is "one hundred sixty-five billion, one hundred seven million, six hundred eighty-two thousand, four hundred thirty-two".