221734244725875 has 144 divisors (see below), whose sum is σ = 489444408629280. Its totient is φ = 96029266435200.

The previous prime is 221734244725871. The next prime is 221734244725891. The reversal of 221734244725875 is 578527442437122.

221734244725875 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 3 + 4 + 2 + 4 + 47 + 2 + 587 + 5 = 666.

It is not a de Polignac number, because 221734244725875 - 2² = 221734244725871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (221734244725871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104804992 + ... + 106899741.

It is an arithmetic number, because the mean of its divisors is an integer number (3398919504370).

Almost surely, 2^{221734244725875} is an apocalyptic number.

221734244725875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

221734244725875 is an abundant number, since it is smaller than the sum of its proper divisors (267710163903405).

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

221734244725875 is a wasteful number, since it uses less digits than its factorization.

221734244725875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211704787 (or 211704767 counting only the distinct ones).

The product of its digits is 210739200, while the sum is 63.

The spelling of 221734244725875 in words is "two hundred twenty-one trillion, seven hundred thirty-four billion, two hundred forty-four million, seven hundred twenty-five thousand, eight hundred seventy-five".