165541154688 has 1152 divisors, whose sum is σ = 650126131200. Its totient is φ = 39922606080.

The previous prime is 165541154683. The next prime is 165541154741. The reversal of 165541154688 is 886451145561.

It is a happy number.

165541154688 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 4 + 11 + 546 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

Its product of digits (4608000) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165541154683) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 432222145 + ... + 432222527.

It is an arithmetic number, because the mean of its divisors is an integer number (564345600).

Almost surely, 2^165541154688 is an apocalyptic number.

165541154688 is a gapful number since it is divisible by the number (18) 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 165541154688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325063065600).

165541154688 is an abundant number, since it is smaller than the sum of its proper divisors (484584976512).

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

165541154688 is a wasteful number, since it uses less digits than its factorization.

165541154688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 458 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 54.

The spelling of 165541154688 in words is "one hundred sixty-five billion, five hundred forty-one million, one hundred fifty-four thousand, six hundred eighty-eight".