114352505253411 has 64 divisors (see below), whose sum is σ = 166117217651712. Its totient is φ = 69707635200000.

The previous prime is 114352505253401. The next prime is 114352505253529.

114352505253411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114352505253411 - 2¹³ = 114352505245219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114352505253401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76426191 + ... + 77908071.

It is an arithmetic number, because the mean of its divisors is an integer number (2595581525808).

Almost surely, 2^{114352505253411} is an apocalyptic number.

114352505253411 is a deficient number, since it is larger than the sum of its proper divisors (51764712398301).

114352505253411 is a wasteful number, since it uses less digits than its factorization.

114352505253411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482284.

The product of its (nonzero) digits is 360000, while the sum is 42.

It can be divided in two parts, 11435250 and 5253411, that added together give a palindrome (16688661).

The spelling of 114352505253411 in words is "one hundred fourteen trillion, three hundred fifty-two billion, five hundred five million, two hundred fifty-three thousand, four hundred eleven".