165931089408 has 800 divisors, whose sum is σ = 606041568000. Its totient is φ = 44144787456.

The previous prime is 165931089391. The next prime is 165931089409. The reversal of 165931089408 is 804980139561.

165931089408 is a `hidden beast` number, since 1 + 6 + 593 + 1 + 0 + 8 + 9 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165931089409) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369556768 + ... + 369557216.

It is an arithmetic number, because the mean of its divisors is an integer number (757551960).

Almost surely, 2^165931089408 is an apocalyptic number.

165931089408 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 165931089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303020784000).

165931089408 is an abundant number, since it is smaller than the sum of its proper divisors (440110478592).

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

165931089408 is an equidigital number, since it uses as much as digits as its factorization.

165931089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 165931089408 in words is "one hundred sixty-five billion, nine hundred thirty-one million, eighty-nine thousand, four hundred eight".