193673843055625 has 45 divisors (see below), whose sum is σ = 250087527898131. Its totient is φ = 149932689780000.

The previous prime is 193673843055619. The next prime is 193673843055647. The reversal of 193673843055625 is 526550348376391.

The square root of 193673843055625 is 13916675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 16774160523129 + 176899682532496 = 4095627^2 + 13300364^2 .

It is not a de Polignac number, because 193673843055625 - 2²¹ = 193673840958473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10785414147 + ... + 10785432103.

It is a 1-persistent number, because it is pandigital, but 2⋅193673843055625 = 387347686111250 is not.

Almost surely, 2^{193673843055625} is an apocalyptic number.

193673843055625 is the 13916675-th square number.

193673843055625 is the 6958338-th centered octagonal number.

It is an amenable number.

193673843055625 is a deficient number, since it is larger than the sum of its proper divisors (56413684842506).

193673843055625 is an frugal number, since it uses more digits than its factorization.

193673843055625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35996 (or 17993 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 67.

The spelling of 193673843055625 in words is "one hundred ninety-three trillion, six hundred seventy-three billion, eight hundred forty-three million, fifty-five thousand, six hundred twenty-five".