116953740225 has 81 divisors (see below), whose sum is σ = 243752333097. Its totient is φ = 53448151680.

The previous prime is 116953740203. The next prime is 116953740227. The reversal of 116953740225 is 522047359611.

The square root of 116953740225 is 341985.

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

116953740225 is a `hidden beast` number, since 11 + 69 + 537 + 40 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7474812849 + 109478927376 = 86457^2 + 330876^2 .

It is not a de Polignac number, because 116953740225 - 2⁷ = 116953740097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116953740227) 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, 35906797 + ... + 35910053.

Almost surely, 2^116953740225 is an apocalyptic number.

116953740225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116953740225 is the 341985-th square number.

116953740225 is the 170993-rd centered octagonal number.

It is an amenable number.

116953740225 is an abundant number, since it is smaller than the sum of its proper divisors (126798592872).

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

116953740225 is an frugal number, since it uses more digits than its factorization.

116953740225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 116953740225 in words is "one hundred sixteen billion, nine hundred fifty-three million, seven hundred forty thousand, two hundred twenty-five".