165478910688 has 576 divisors, whose sum is σ = 628800883200. Its totient is φ = 41340948480.

The previous prime is 165478910651. The next prime is 165478910699. The reversal of 165478910688 is 886019874561.

165478910688 is a `hidden beast` number, since 1 + 6 + 547 + 8 + 9 + 1 + 0 + 6 + 88 = 666.

165478910688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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, 19415868 + ... + 19424388.

It is an arithmetic number, because the mean of its divisors is an integer number (1091668200).

Almost surely, 2^165478910688 is an apocalyptic number.

165478910688 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 165478910688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314400441600).

165478910688 is an abundant number, since it is smaller than the sum of its proper divisors (463321972512).

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

165478910688 is a wasteful number, since it uses less digits than its factorization.

165478910688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8592 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 165478910688 in words is "one hundred sixty-five billion, four hundred seventy-eight million, nine hundred ten thousand, six hundred eighty-eight".