113400564401 has 8 divisors (see below), whose sum is σ = 113882180808. Its totient is φ = 112919040000.

The previous prime is 113400564373. The next prime is 113400564481. The reversal of 113400564401 is 104465004311.

It can be written as a sum of positive squares in 4 ways, for example, as 75823129600 + 37577434801 = 275360^2 + 193849^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113400564401 - 2²² = 113396370097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113400564481) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3744761 + ... + 3774921.

It is an arithmetic number, because the mean of its divisors is an integer number (14235272601).

Almost surely, 2^113400564401 is an apocalyptic number.

It is an amenable number.

113400564401 is a deficient number, since it is larger than the sum of its proper divisors (481616407).

113400564401 is a wasteful number, since it uses less digits than its factorization.

113400564401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46003.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 113400564401 its reverse (104465004311), we get a palindrome (217865568712).

The spelling of 113400564401 in words is "one hundred thirteen billion, four hundred million, five hundred sixty-four thousand, four hundred one".