114971770355121 has 81 divisors (see below), whose sum is σ = 176821580972673. Its totient is φ = 71983070953920.

The previous prime is 114971770355089. The next prime is 114971770355131. The reversal of 114971770355121 is 121553077179411.

The square root of 114971770355121 is 10722489.

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

114971770355121 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 7 + 17 + 70 + 3 + 551 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24468208506225 + 90503561848896 = 4946535^2 + 9513336^2 .

It is not a de Polignac number, because 114971770355121 - 2⁵ = 114971770355089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114971770355131) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34515690426 + ... + 34515693756.

Almost surely, 2^{114971770355121} is an apocalyptic number.

114971770355121 is the 10722489-th square number.

114971770355121 is the 5361245-th centered octagonal number.

It is an amenable number.

114971770355121 is a deficient number, since it is larger than the sum of its proper divisors (61849810617552).

114971770355121 is an frugal number, since it uses more digits than its factorization.

114971770355121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 54.

The spelling of 114971770355121 in words is "one hundred fourteen trillion, nine hundred seventy-one billion, seven hundred seventy million, three hundred fifty-five thousand, one hundred twenty-one".