114015414431201 has 8 divisors (see below), whose sum is σ = 117948831609000. Its totient is φ = 110082120664320.

The previous prime is 114015414431189. The next prime is 114015414431251. The reversal of 114015414431201 is 102134414510411.

It can be written as a sum of positive squares in 4 ways, for example, as 8176174078801 + 105839240352400 = 2859401^2 + 10287820^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114015414431201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114015414431251) 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 7 ways as a sum of consecutive naturals, for example, 28971176 + ... + 32670473.

It is an arithmetic number, because the mean of its divisors is an integer number (14743603951125).

Almost surely, 2^{114015414431201} is an apocalyptic number.

It is an amenable number.

114015414431201 is a deficient number, since it is larger than the sum of its proper divisors (3933417177799).

114015414431201 is an equidigital number, since it uses as much as digits as its factorization.

114015414431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61705459.

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 114015414431201 its reverse (102134414510411), we get a palindrome (216149828941612).

The spelling of 114015414431201 in words is "one hundred fourteen trillion, fifteen billion, four hundred fourteen million, four hundred thirty-one thousand, two hundred one".