114303314224224 has 72 divisors (see below), whose sum is σ = 329628219599952. Its totient is φ = 37564469456640.

The previous prime is 114303314224219. The next prime is 114303314224259. The reversal of 114303314224224 is 422422413303411.

114303314224224 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 0 + 3 + 3 + 1 + 422 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2794954959 + ... + 2794995854.

It is an arithmetic number, because the mean of its divisors is an integer number (4578169716666).

Almost surely, 2^{114303314224224} is an apocalyptic number.

It is an amenable number.

114303314224224 is an abundant number, since it is smaller than the sum of its proper divisors (215324905375728).

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

114303314224224 is a wasteful number, since it uses less digits than its factorization.

114303314224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589950900 (or 5589950889 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 114303314224224 its reverse (422422413303411), we get a palindrome (536725727527635).

The spelling of 114303314224224 in words is "one hundred fourteen trillion, three hundred three billion, three hundred fourteen million, two hundred twenty-four thousand, two hundred twenty-four".