114414224001 has 128 divisors (see below), whose sum is σ = 204124631040. Its totient is φ = 55273881600.

The previous prime is 114414223969. The next prime is 114414224009. The reversal of 114414224001 is 100422414411.

It is not a de Polignac number, because 114414224001 - 2⁵ = 114414223969 is a prime.

It is a super-3 number, since 3×114414224001³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (114414224009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21025441 + ... + 21030881.

It is an arithmetic number, because the mean of its divisors is an integer number (1594723680).

Almost surely, 2^114414224001 is an apocalyptic number.

114414224001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114414224001 is a deficient number, since it is larger than the sum of its proper divisors (89710407039).

114414224001 is a wasteful number, since it uses less digits than its factorization.

114414224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 114414224001 its reverse (100422414411), we get a palindrome (214836638412).

The spelling of 114414224001 in words is "one hundred fourteen billion, four hundred fourteen million, two hundred twenty-four thousand, one".