114224114401020 has 144 divisors (see below), whose sum is σ = 376619323822560. Its totient is φ = 27853932077568.

The previous prime is 114224114400989. The next prime is 114224114401049. The reversal of 114224114401020 is 20104411422411.

114224114401020 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 241 + 14 + 401 + 0 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227851135 + ... + 228351894.

It is an arithmetic number, because the mean of its divisors is an integer number (2615411970990).

Almost surely, 2^{114224114401020} is an apocalyptic number.

114224114401020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114224114401020 is an abundant number, since it is smaller than the sum of its proper divisors (262395209421540).

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

114224114401020 is a wasteful number, since it uses less digits than its factorization.

114224114401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456203164 (or 456203159 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 114224114401020 its reverse (20104411422411), we get a palindrome (134328525823431).

The spelling of 114224114401020 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred fourteen million, four hundred one thousand, twenty".