114113028816901 has 16 divisors (see below), whose sum is σ = 120004915734000. Its totient is φ = 108352260172800.

The previous prime is 114113028816883. The next prime is 114113028816923. The reversal of 114113028816901 is 109618820311411.

It is a happy number.

It is a Cunningham number, because it is equal to 10682370²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 47852000001 + 114065176816900 = 218751^2 + 10680130^2 .

It is a cyclic number.

It is not a de Polignac number, because 114113028816901 - 2³³ = 114104438882309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114113028816301) 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, 3924675 + ... + 15608623.

It is an arithmetic number, because the mean of its divisors is an integer number (7500307233375).

Almost surely, 2^{114113028816901} is an apocalyptic number.

It is an amenable number.

114113028816901 is a deficient number, since it is larger than the sum of its proper divisors (5891886917099).

114113028816901 is a wasteful number, since it uses less digits than its factorization.

114113028816901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11689560.

The product of its (nonzero) digits is 82944, while the sum is 46.

The spelling of 114113028816901 in words is "one hundred fourteen trillion, one hundred thirteen billion, twenty-eight million, eight hundred sixteen thousand, nine hundred one".