114524255022257 has 2 divisors, whose sum is σ = 114524255022258. Its totient is φ = 114524255022256.

The previous prime is 114524255022253. The next prime is 114524255022329. The reversal of 114524255022257 is 752220552425411.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113491543804081 + 1032711218176 = 10653241^2 + 1016224^2 .

It is a cyclic number.

It is not a de Polignac number, because 114524255022257 - 2² = 114524255022253 is a prime.

It is a super-3 number, since 3×114524255022257³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (114524255022253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57262127511128 + 57262127511129.

It is an arithmetic number, because the mean of its divisors is an integer number (57262127511129).

Almost surely, 2^{114524255022257} is an apocalyptic number.

It is an amenable number.

114524255022257 is a deficient number, since it is larger than the sum of its proper divisors (1).

114524255022257 is an equidigital number, since it uses as much as digits as its factorization.

114524255022257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240000, while the sum is 47.

The spelling of 114524255022257 in words is "one hundred fourteen trillion, five hundred twenty-four billion, two hundred fifty-five million, twenty-two thousand, two hundred fifty-seven".