6110141296900 has 81 divisors (see below), whose sum is σ = 13355554667007. Its totient is φ = 2426387592000.

The previous prime is 6110141296841. The next prime is 6110141296907. The reversal of 6110141296900 is 96921410116.

The square root of 6110141296900 is 2471870.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2853011515396 + 3257129781504 = 1689086^2 + 1804752^2 .

It is a super-2 number, since 2×6110141296900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6110141296907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3732522882 + ... + 3732524518.

Almost surely, 2^{6110141296900} is an apocalyptic number.

6110141296900 is the 2471870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6110141296900

6110141296900 is an abundant number, since it is smaller than the sum of its proper divisors (7245413370107).

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

6110141296900 is an equidigital number, since it uses as much as digits as its factorization.

6110141296900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 6110141296900 in words is "six trillion, one hundred ten billion, one hundred forty-one million, two hundred ninety-six thousand, nine hundred".