165053604202312 has 96 divisors (see below), whose sum is σ = 365219512382520. Its totient is φ = 69713605463040.

The previous prime is 165053604202303. The next prime is 165053604202339. The reversal of 165053604202312 is 213202406350561.

It can be written as a sum of positive squares in 4 ways, for example, as 160851538791076 + 4202065411236 = 12682726^2 + 2049894^2 .

It is a super-2 number, since 2×165053604202312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34284262 + ... + 38801002.

Almost surely, 2^{165053604202312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165053604202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182609756191260).

165053604202312 is an abundant number, since it is smaller than the sum of its proper divisors (200165908180208).

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

165053604202312 is a wasteful number, since it uses less digits than its factorization.

165053604202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518111 (or 4518100 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 165053604202312 in words is "one hundred sixty-five trillion, fifty-three billion, six hundred four million, two hundred two thousand, three hundred twelve".