114213414400110 has 24 divisors (see below), whose sum is σ = 296954877440520. Its totient is φ = 30456910506672.

The previous prime is 114213414400097. The next prime is 114213414400123. The reversal of 114213414400110 is 11004414312411.

114213414400110 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 134 + 14 + 400 + 110 = 666.

It is an interprime number because it is at equal distance from previous prime (114213414400097) and next prime (114213414400123).

It is a super-2 number, since 2×114213414400110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634518968800 + ... + 634518968979.

It is an arithmetic number, because the mean of its divisors is an integer number (12373119893355).

Almost surely, 2^{114213414400110} is an apocalyptic number.

114213414400110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114213414400110 is an abundant number, since it is smaller than the sum of its proper divisors (182741463040410).

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

114213414400110 is a wasteful number, since it uses less digits than its factorization.

114213414400110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269037937792 (or 1269037937789 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 114213414400110 its reverse (11004414312411), we get a palindrome (125217828712521).

The spelling of 114213414400110 in words is "one hundred fourteen trillion, two hundred thirteen billion, four hundred fourteen million, four hundred thousand, one hundred ten".