114264025344 has 216 divisors, whose sum is σ = 377097494592. Its totient is φ = 32596439040.

The previous prime is 114264025279. The next prime is 114264025373. The reversal of 114264025344 is 443520462411.

114264025344 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 640 + 2 + 5 + 3 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114264025299 and 114264025308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11139322 + ... + 11149574.

Almost surely, 2^114264025344 is an apocalyptic number.

114264025344 is a gapful number since it is divisible by the number (14) 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 114264025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188548747296).

114264025344 is an abundant number, since it is smaller than the sum of its proper divisors (262833469248).

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

114264025344 is a wasteful number, since it uses less digits than its factorization.

114264025344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10973 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 114264025344 its reverse (443520462411), we get a palindrome (557784487755).

The spelling of 114264025344 in words is "one hundred fourteen billion, two hundred sixty-four million, twenty-five thousand, three hundred forty-four".