165346544871936 has 640 divisors, whose sum is σ = 536375248358400. Its totient is φ = 50058752163840.

The previous prime is 165346544871857. The next prime is 165346544871941. The reversal of 165346544871936 is 639178445643561.

165346544871936 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 4 + 6 + 54 + 487 + 1 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 16240692766 + ... + 16240702946.

It is an arithmetic number, because the mean of its divisors is an integer number (838086325560).

Almost surely, 2^{165346544871936} is an apocalyptic number.

165346544871936 is a gapful number since it is divisible by the number (16) 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 165346544871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268187624179200).

165346544871936 is an abundant number, since it is smaller than the sum of its proper divisors (371028703486464).

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

165346544871936 is a wasteful number, since it uses less digits than its factorization.

165346544871936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637 (or 12615 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 165346544871936 in words is "one hundred sixty-five trillion, three hundred forty-six billion, five hundred forty-four million, eight hundred seventy-one thousand, nine hundred thirty-six".