112547969745211 has 240 divisors, whose sum is σ = 157965183880000. Its totient is φ = 80152063992000.

The previous prime is 112547969745203. The next prime is 112547969745221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

112547969745211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112547969745211 - 2³ = 112547969745203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112547969745221) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1114336334061 + ... + 1114336334161.

Almost surely, 2^{112547969745211} is an apocalyptic number.

112547969745211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112547969745211 is a deficient number, since it is larger than the sum of its proper divisors (45417214134789).

112547969745211 is an frugal number, since it uses more digits than its factorization.

112547969745211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 132 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 64.

The spelling of 112547969745211 in words is "one hundred twelve trillion, five hundred forty-seven billion, nine hundred sixty-nine million, seven hundred forty-five thousand, two hundred eleven".