352544117265 has 48 divisors (see below), whose sum is σ = 613905351696. Its totient is φ = 187154496000.

The previous prime is 352544117251. The next prime is 352544117333. The reversal of 352544117265 is 562711445253.

352544117265 is a `hidden beast` number, since 3 + 525 + 4 + 4 + 117 + 2 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21531453696 + 331012663569 = 146736^2 + 575337^2 .

It is not a de Polignac number, because 352544117265 - 2³¹ = 350396633617 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 352544117265.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12712915 + ... + 12740615.

It is an arithmetic number, because the mean of its divisors is an integer number (12789694827).

Almost surely, 2^352544117265 is an apocalyptic number.

It is an amenable number.

352544117265 is a deficient number, since it is larger than the sum of its proper divisors (261361234431).

352544117265 is a wasteful number, since it uses less digits than its factorization.

352544117265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29010 (or 29007 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 352544117265 in words is "three hundred fifty-two billion, five hundred forty-four million, one hundred seventeen thousand, two hundred sixty-five".