165196260893664 has 864 divisors, whose sum is σ = 679778337734496. Its totient is φ = 37277634723840.

The previous prime is 165196260893663. The next prime is 165196260893683. The reversal of 165196260893664 is 466398062691561.

165196260893664 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 9 + 6 + 2 + 608 + 9 + 3 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×165196260893664² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 165196260893592 and 165196260893601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165196260893663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31898604 + ... + 36713940.

It is an arithmetic number, because the mean of its divisors is an integer number (786780483489).

Almost surely, 2^{165196260893664} is an apocalyptic number.

165196260893664 is a gapful number since it is divisible by the number (14) 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 165196260893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339889168867248).

165196260893664 is an abundant number, since it is smaller than the sum of its proper divisors (514582076840832).

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

165196260893664 is a wasteful number, since it uses less digits than its factorization.

165196260893664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815408 (or 4815390 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 165196260893664 in words is "one hundred sixty-five trillion, one hundred ninety-six billion, two hundred sixty million, eight hundred ninety-three thousand, six hundred sixty-four".