61134176256 has 256 divisors, whose sum is σ = 174396499200. Its totient is φ = 18992332800.

The previous prime is 61134176251. The next prime is 61134176267. The reversal of 61134176256 is 65267143116.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61134176251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132611866 + ... + 132612326.

It is an arithmetic number, because the mean of its divisors is an integer number (681236325).

Almost surely, 2^61134176256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61134176256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87198249600).

61134176256 is an abundant number, since it is smaller than the sum of its proper divisors (113262322944).

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

61134176256 is an equidigital number, since it uses as much as digits as its factorization.

61134176256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 556 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 61134176256 in words is "sixty-one billion, one hundred thirty-four million, one hundred seventy-six thousand, two hundred fifty-six".