114158048763529 has 27 divisors (see below), whose sum is σ = 117504943830183. Its totient is φ = 110904871260000.

The previous prime is 114158048763511. The next prime is 114158048763637. The reversal of 114158048763529 is 925367840851411.

It is a happy number.

The square root of 114158048763529 is 10684477.

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

It can be written as a sum of positive squares in only one way, i.e., 5500774509129 + 108657274254400 = 2345373^2 + 10423880^2 .

It is not a de Polignac number, because 114158048763529 - 2³⁵ = 114123689025161 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114158048760529) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 152008053904 + ... + 152008054654.

It is a 1-persistent number, because it is pandigital, but 2⋅114158048763529 = 228316097527058 is not.

Almost surely, 2^{114158048763529} is an apocalyptic number.

114158048763529 is the 10684477-th square number.

114158048763529 is the 5342239-th centered octagonal number.

It is an amenable number.

114158048763529 is a deficient number, since it is larger than the sum of its proper divisors (3346895066654).

114158048763529 is an frugal number, since it uses more digits than its factorization.

114158048763529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 64.

The spelling of 114158048763529 in words is "one hundred fourteen trillion, one hundred fifty-eight billion, forty-eight million, seven hundred sixty-three thousand, five hundred twenty-nine".