342081855657025 has 135 divisors (see below), whose sum is σ = 492753237582105. Its totient is φ = 235546277788800.

The previous prime is 342081855657001. The next prime is 342081855657029. The reversal of 342081855657025 is 520756558180243.

The square root of 342081855657025 is 18495455.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 76844281291569 + 265237574365456 = 8766087^2 + 16286116^2 .

It is not a de Polignac number, because 342081855657025 - 2¹³ = 342081855648833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (342081855657029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 212605254421 + ... + 212605256029.

Almost surely, 2^{342081855657025} is an apocalyptic number.

342081855657025 is the 18495455-th square number.

342081855657025 is the 9247728-th centered octagonal number.

It is an amenable number.

342081855657025 is a deficient number, since it is larger than the sum of its proper divisors (150671381925080).

342081855657025 is an frugal number, since it uses more digits than its factorization.

342081855657025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 61.

The spelling of 342081855657025 in words is "three hundred forty-two trillion, eighty-one billion, eight hundred fifty-five million, six hundred fifty-seven thousand, twenty-five".