6111144838656 has 960 divisors, whose sum is σ = 21567667080960. Its totient is φ = 1703085834240.

The previous prime is 6111144838651. The next prime is 6111144838679. The reversal of 6111144838656 is 6568384411116.

6111144838656 is a `hidden beast` number, since 6 + 1 + 111 + 448 + 3 + 86 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6111144838651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6920888391 + ... + 6920889273.

It is an arithmetic number, because the mean of its divisors is an integer number (22466319876).

Almost surely, 2^{6111144838656} is an apocalyptic number.

6111144838656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6111144838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783833540480).

6111144838656 is an abundant number, since it is smaller than the sum of its proper divisors (15456522242304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6111144838656 is a wasteful number, since it uses less digits than its factorization.

6111144838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1301 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 6111144838656 in words is "six trillion, one hundred eleven billion, one hundred forty-four million, eight hundred thirty-eight thousand, six hundred fifty-six".