165460113000 has 1920 divisors, whose sum is σ = 763449523200. Its totient is φ = 32006016000.

The previous prime is 165460112953. The next prime is 165460113053. The reversal of 165460113000 is 311064561.

165460113000 is a `hidden beast` number, since 1 + 6 + 54 + 601 + 1 + 3 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5337422985 + ... + 5337423015.

It is an arithmetic number, because the mean of its divisors is an integer number (397629960).

Almost surely, 2^165460113000 is an apocalyptic number.

165460113000 is a gapful number since it is divisible by the number (10) 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 165460113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381724761600).

165460113000 is an abundant number, since it is smaller than the sum of its proper divisors (597989410200).

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

165460113000 is a wasteful number, since it uses less digits than its factorization.

165460113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 165460113000 its reverse (311064561), we get a palindrome (165771177561).

The spelling of 165460113000 in words is "one hundred sixty-five billion, four hundred sixty million, one hundred thirteen thousand".