36135544014001 has 16 divisors (see below), whose sum is σ = 38083938380800. Its totient is φ = 34191806734800.

The previous prime is 36135544013951. The next prime is 36135544014013. The reversal of 36135544014001 is 10041044553163.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36135544014001 is a prime.

It is a super-3 number, since 3×36135544014001³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36135544014701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327523636 + ... + 327633946.

It is an arithmetic number, because the mean of its divisors is an integer number (2380246148800).

Almost surely, 2^{36135544014001} is an apocalyptic number.

It is an amenable number.

36135544014001 is a deficient number, since it is larger than the sum of its proper divisors (1948394366799).

36135544014001 is a wasteful number, since it uses less digits than its factorization.

36135544014001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131260.

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 36135544014001 its reverse (10041044553163), we get a palindrome (46176588567164).

The spelling of 36135544014001 in words is "thirty-six trillion, one hundred thirty-five billion, five hundred forty-four million, fourteen thousand, one".