165842511744 has 384 divisors, whose sum is σ = 554795136000. Its totient is φ = 43506118656.

The previous prime is 165842511707. The next prime is 165842511803. The reversal of 165842511744 is 447115248561.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 165842511693 and 165842511702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48675289 + ... + 48678695.

It is an arithmetic number, because the mean of its divisors is an integer number (1444779000).

Almost surely, 2^165842511744 is an apocalyptic number.

165842511744 is a gapful number since it is divisible by the number (14) 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 165842511744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277397568000).

165842511744 is an abundant number, since it is smaller than the sum of its proper divisors (388952624256).

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

165842511744 is a wasteful number, since it uses less digits than its factorization.

165842511744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3631 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The spelling of 165842511744 in words is "one hundred sixty-five billion, eight hundred forty-two million, five hundred eleven thousand, seven hundred forty-four".