109846351139121 has 45 divisors (see below), whose sum is σ = 173185228203273. Its totient is φ = 69375510902520.

The previous prime is 109846351139111. The next prime is 109846351139137. The reversal of 109846351139121 is 121931153648901.

The square root of 109846351139121 is 10480761.

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

109846351139121 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 463 + 51 + 1 + 3 + 9 + 121 = 666.

It is not a de Polignac number, because 109846351139121 - 2²³ = 109846342750513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109846351139111) 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, 1792179486 + ... + 1792240776.

Almost surely, 2^{109846351139121} is an apocalyptic number.

109846351139121 is the 10480761-st square number.

109846351139121 is the 5240381-st centered octagonal number.

It is an amenable number.

109846351139121 is a deficient number, since it is larger than the sum of its proper divisors (63338877064152).

109846351139121 is an frugal number, since it uses more digits than its factorization.

109846351139121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122632 (or 61313 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 109846351139121 in words is "one hundred nine trillion, eight hundred forty-six billion, three hundred fifty-one million, one hundred thirty-nine thousand, one hundred twenty-one".