117821798430625 has 45 divisors (see below), whose sum is σ = 147711508520367. Its totient is φ = 93950254272000.

The previous prime is 117821798430613. The next prime is 117821798430671. The reversal of 117821798430625 is 526034897128711.

It is a happy number.

The square root of 117821798430625 is 10854575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 78750697957281 + 39071100473344 = 8874159^2 + 6250688^2 .

It is not a de Polignac number, because 117821798430625 - 2⁴¹ = 115622775175073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 121842603892 + ... + 121842604858.

It is a 1-persistent number, because it is pandigital, but 2⋅117821798430625 = 235643596861250 is not.

Almost surely, 2^{117821798430625} is an apocalyptic number.

117821798430625 is the 10854575-th square number.

117821798430625 is the 5427288-th centered octagonal number.

It is an amenable number.

117821798430625 is a deficient number, since it is larger than the sum of its proper divisors (29889710089742).

117821798430625 is an frugal number, since it uses more digits than its factorization.

117821798430625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 64.

The spelling of 117821798430625 in words is "one hundred seventeen trillion, eight hundred twenty-one billion, seven hundred ninety-eight million, four hundred thirty thousand, six hundred twenty-five".