114505405211223 has 64 divisors (see below), whose sum is σ = 187008902080000. Its totient is φ = 68799016355328.

The previous prime is 114505405211201. The next prime is 114505405211279. The reversal of 114505405211223 is 322112504505411.

114505405211223 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 5 + 4 + 0 + 521 + 122 + 3 = 666.

It is not a de Polignac number, because 114505405211223 - 2⁸ = 114505405210967 is a prime.

It is a super-2 number, since 2×114505405211223² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114505405211293) 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, 36827103 + ... + 39815151.

It is an arithmetic number, because the mean of its divisors is an integer number (2922014095000).

Almost surely, 2^{114505405211223} is an apocalyptic number.

114505405211223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

114505405211223 is a deficient number, since it is larger than the sum of its proper divisors (72503496868777).

114505405211223 is a wasteful number, since it uses less digits than its factorization.

114505405211223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990653 (or 2990647 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 114505405211223 its reverse (322112504505411), we get a palindrome (436617909716634).

The spelling of 114505405211223 in words is "one hundred fourteen trillion, five hundred five billion, four hundred five million, two hundred eleven thousand, two hundred twenty-three".