99930392117361 has 45 divisors (see below), whose sum is σ = 156380068109031. Its totient is φ = 61492507004448.

The previous prime is 99930392117323. The next prime is 99930392117419. The reversal of 99930392117361 is 16371129303999.

The square root of 99930392117361 is 9996519.

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

99930392117361 is a `hidden beast` number, since 9 + 99 + 30 + 392 + 1 + 1 + 73 + 61 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 74500116509025 + 25430275608336 = 8631345^2 + 5042844^2 .

It is not a de Polignac number, because 99930392117361 - 2¹¹ = 99930392115313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99930390117361) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5068225275 + ... + 5068244991.

Almost surely, 2^{99930392117361} is an apocalyptic number.

99930392117361 is the 9996519-th square number.

99930392117361 is the 4998260-th centered octagonal number.

It is an amenable number.

99930392117361 is a deficient number, since it is larger than the sum of its proper divisors (56449675991670).

99930392117361 is an frugal number, since it uses more digits than its factorization.

99930392117361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39492 (or 19733 counting only the distinct ones).

The product of its (nonzero) digits is 14880348, while the sum is 63.

It can be divided in two parts, 9993039 and 2117361, that added together give a square (12110400 = 3480²).

The spelling of 99930392117361 in words is "ninety-nine trillion, nine hundred thirty billion, three hundred ninety-two million, one hundred seventeen thousand, three hundred sixty-one".