117488581816225 has 81 divisors (see below), whose sum is σ = 156050279721651. Its totient is φ = 87735207621600.

The previous prime is 117488581816213. The next prime is 117488581816267. The reversal of 117488581816225 is 522618185884711.

The square root of 117488581816225 is 10839215.

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., 42295889453841 + 75192692362384 = 6503529^2 + 8671372^2 .

It is not a de Polignac number, because 117488581816225 - 2⁷ = 117488581816097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73110504372 + ... + 73110505978.

Almost surely, 2^{117488581816225} is an apocalyptic number.

117488581816225 is the 10839215-th square number.

117488581816225 is the 5419608-th centered octagonal number.

It is an amenable number.

117488581816225 is a deficient number, since it is larger than the sum of its proper divisors (38561697905426).

117488581816225 is an frugal number, since it uses more digits than its factorization.

117488581816225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 1702 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 67.

The spelling of 117488581816225 in words is "one hundred seventeen trillion, four hundred eighty-eight billion, five hundred eighty-one million, eight hundred sixteen thousand, two hundred twenty-five".