242905172085 has 60 divisors (see below), whose sum is σ = 442937840268. Its totient is φ = 127352932992.

The previous prime is 242905172017. The next prime is 242905172089. The reversal of 242905172085 is 580271509242.

242905172085 is a `hidden beast` number, since 2 + 42 + 90 + 517 + 2 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25545948561 + 217359223524 = 159831^2 + 466218^2 .

It is not a de Polignac number, because 242905172085 - 2²⁴ = 242888394869 is a prime.

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 242905172085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242905172089) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1323657 + ... + 1495953.

Almost surely, 2^242905172085 is an apocalyptic number.

It is an amenable number.

242905172085 is a deficient number, since it is larger than the sum of its proper divisors (200032668183).

242905172085 is an equidigital number, since it uses as much as digits as its factorization.

242905172085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172432 (or 172364 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 242905172085 in words is "two hundred forty-two billion, nine hundred five million, one hundred seventy-two thousand, eighty-five".