114633114640110 has 96 divisors (see below), whose sum is σ = 325143508970592. Its totient is φ = 27789648445440.

The previous prime is 114633114640103. The next prime is 114633114640111. The reversal of 114633114640110 is 11046411336411.

114633114640110 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 3 + 3 + 1 + 1 + 4 + 640 + 1 + 1 + 0 = 666.

It is a super-4 number, since 4×114633114640110⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114633114640111) 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 47 ways as a sum of consecutive naturals, for example, 177974562 + ... + 178617498.

It is an arithmetic number, because the mean of its divisors is an integer number (3386911551777).

Almost surely, 2^{114633114640110} is an apocalyptic number.

114633114640110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114633114640110 is an abundant number, since it is smaller than the sum of its proper divisors (210510394330482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114633114640110 is a wasteful number, since it uses less digits than its factorization.

114633114640110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823058 (or 823055 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 114633114640110 its reverse (11046411336411), we get a palindrome (125679525976521).

The spelling of 114633114640110 in words is "one hundred fourteen trillion, six hundred thirty-three billion, one hundred fourteen million, six hundred forty thousand, one hundred ten".