117057490514721 has 9 divisors (see below), whose sum is σ = 169083088738291. Its totient is φ = 78038305371192.

The previous prime is 117057490514677. The next prime is 117057490514729. The reversal of 117057490514721 is 127415094750711.

The square root of 117057490514721 is 10819311.

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

117057490514721 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 5 + 7 + 490 + 5 + 147 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90561393140625 + 26496097374096 = 9516375^2 + 5147436^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 117057490514721 - 2³¹ = 117055343031073 is a prime.

It is a super-3 number, since 3×117057490514721³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117057490514729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30654715 + ... + 34261151.

Almost surely, 2^{117057490514721} is an apocalyptic number.

117057490514721 is the 10819311-st square number.

117057490514721 is the 5409656-th centered octagonal number.

It is an amenable number.

117057490514721 is a deficient number, since it is larger than the sum of its proper divisors (52025598223570).

117057490514721 is an frugal number, since it uses more digits than its factorization.

117057490514721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212880 (or 3606440 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 54.

The spelling of 117057490514721 in words is "one hundred seventeen trillion, fifty-seven billion, four hundred ninety million, five hundred fourteen thousand, seven hundred twenty-one".