114423469056 has 264 divisors, whose sum is σ = 368090803080. Its totient is φ = 33992146944.

The previous prime is 114423469037. The next prime is 114423469063. The reversal of 114423469056 is 650964324411.

114423469056 is a `hidden beast` number, since 114 + 4 + 23 + 469 + 0 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 557715456 + 113865753600 = 23616^2 + 337440^2 .

It is a super-3 number, since 3×114423469056³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3457966 + ... + 3490898.

It is an arithmetic number, because the mean of its divisors is an integer number (1394283345).

Almost surely, 2^114423469056 is an apocalyptic number.

114423469056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114423469056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184045401540).

114423469056 is an abundant number, since it is smaller than the sum of its proper divisors (253667334024).

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

114423469056 is a wasteful number, since it uses less digits than its factorization.

114423469056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33001 (or 32980 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 114423469056 in words is "one hundred fourteen billion, four hundred twenty-three million, four hundred sixty-nine thousand, fifty-six".