114124694263056 has 135 divisors (see below), whose sum is σ = 321091193087301. Its totient is φ = 37840084958592.

The previous prime is 114124694263037. The next prime is 114124694263079. The reversal of 114124694263056 is 650362496421411.

The square root of 114124694263056 is 10682916.

It is a perfect power (a square), and thus also a powerful number.

114124694263056 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 246 + 94 + 2 + 6 + 305 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111819204291600 + 2305489971456 = 10574460^2 + 1518384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114124694262993 and 114124694263011.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25254411165 + ... + 25254415683.

Almost surely, 2^{114124694263056} is an apocalyptic number.

114124694263056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114124694263056 is the 10682916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114124694263056

114124694263056 is an abundant number, since it is smaller than the sum of its proper divisors (206966498824245).

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

114124694263056 is an frugal number, since it uses more digits than its factorization.

114124694263056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 114124694263056 in words is "one hundred fourteen trillion, one hundred twenty-four billion, six hundred ninety-four million, two hundred sixty-three thousand, fifty-six".