114516314514433 has 16 divisors (see below), whose sum is σ = 123611846713936. Its totient is φ = 105461730017280.

The previous prime is 114516314514431. The next prime is 114516314514619. The reversal of 114516314514433 is 334415413615411.

It can be written as a sum of positive squares in 8 ways, for example, as 46424490856704 + 68091823657729 = 6813552^2 + 8251777^2 .

It is not a de Polignac number, because 114516314514433 - 2¹ = 114516314514431 is a prime.

It is a super-2 number, since 2×114516314514433² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114516314514431) 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, 655336513 + ... + 655511233.

It is an arithmetic number, because the mean of its divisors is an integer number (7725740419621).

Almost surely, 2^{114516314514433} is an apocalyptic number.

114516314514433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114516314514433 is a deficient number, since it is larger than the sum of its proper divisors (9095532199503).

114516314514433 is a wasteful number, since it uses less digits than its factorization.

114516314514433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291604.

The product of its digits is 1036800, while the sum is 46.

The spelling of 114516314514433 in words is "one hundred fourteen trillion, five hundred sixteen billion, three hundred fourteen million, five hundred fourteen thousand, four hundred thirty-three".