114628967761 has 27 divisors (see below), whose sum is σ = 146601431067. Its totient is φ = 89300959440.

The previous prime is 114628967737. The next prime is 114628967777. The reversal of 114628967761 is 167769826411.

The square root of 114628967761 is 338569.

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., 54973836225 + 59655131536 = 234465^2 + 244244^2 .

It is not a de Polignac number, because 114628967761 - 2¹⁷ = 114628836689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114628967696 and 114628967705.

It is not an unprimeable number, because it can be changed into a prime (114628967711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26067615 + ... + 26072011.

Almost surely, 2^114628967761 is an apocalyptic number.

114628967761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114628967761 is the 338569-th square number.

114628967761 is the 169285-th centered octagonal number.

It is an amenable number.

114628967761 is a deficient number, since it is larger than the sum of its proper divisors (31972463306).

114628967761 is an frugal number, since it uses more digits than its factorization.

114628967761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830 (or 4415 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 58.

The spelling of 114628967761 in words is "one hundred fourteen billion, six hundred twenty-eight million, nine hundred sixty-seven thousand, seven hundred sixty-one".