165152064819456 has 864 divisors, whose sum is σ = 562457561073408. Its totient is φ = 45946251509760.

The previous prime is 165152064819431. The next prime is 165152064819463. The reversal of 165152064819456 is 654918460251561.

It is a happy number.

165152064819456 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 520 + 6 + 48 + 19 + 4 + 56 = 666.

It is a super-2 number, since 2×165152064819456² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165152064819393 and 165152064819402.

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 95 ways as a sum of consecutive naturals, for example, 81880050960 + ... + 81880052976.

Almost surely, 2^{165152064819456} is an apocalyptic number.

165152064819456 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 165152064819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281228780536704).

165152064819456 is an abundant number, since it is smaller than the sum of its proper divisors (397305496253952).

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

165152064819456 is a wasteful number, since it uses less digits than its factorization.

165152064819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 165152064819456 in words is "one hundred sixty-five trillion, one hundred fifty-two billion, sixty-four million, eight hundred nineteen thousand, four hundred fifty-six".