6116911151121 has 9 divisors (see below), whose sum is σ = 8835549046779. Its totient is φ = 4077935820936.

The previous prime is 6116911151063. The next prime is 6116911151123. The reversal of 6116911151121 is 1211511196116.

It is a happy number.

The square root of 6116911151121 is 2473239.

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

6116911151121 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 9 + 111 + 511 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6064669649025 + 52241502096 = 2462655^2 + 228564^2 .

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

It is not a de Polignac number, because 6116911151121 - 2²⁹ = 6116374280209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6116911151123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7007511 + ... + 7831923.

Almost surely, 2^{6116911151121} is an apocalyptic number.

6116911151121 is the 2473239-th square number.

6116911151121 is the 1236620-th centered octagonal number.

It is an amenable number.

6116911151121 is a deficient number, since it is larger than the sum of its proper divisors (2718637895658).

6116911151121 is an frugal number, since it uses more digits than its factorization.

6116911151121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648832 (or 824416 counting only the distinct ones).

The product of its digits is 3240, while the sum is 36.

Multiplying 6116911151121 by its sum of digits (36), we get a square (220208801440356 = 14839434²).

The spelling of 6116911151121 in words is "six trillion, one hundred sixteen billion, nine hundred eleven million, one hundred fifty-one thousand, one hundred twenty-one".