61112134776 has 384 divisors, whose sum is σ = 198071516160. Its totient is φ = 15534489600.

The previous prime is 61112134757. The next prime is 61112134777. The reversal of 61112134776 is 67743121116.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61112134777) 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 95 ways as a sum of consecutive naturals, for example, 141791281 + ... + 141791711.

It is an arithmetic number, because the mean of its divisors is an integer number (515811240).

Almost surely, 2^61112134776 is an apocalyptic number.

61112134776 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 61112134776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99035758080).

61112134776 is an abundant number, since it is smaller than the sum of its proper divisors (136959381384).

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

61112134776 is a wasteful number, since it uses less digits than its factorization.

61112134776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The spelling of 61112134776 in words is "sixty-one billion, one hundred twelve million, one hundred thirty-four thousand, seven hundred seventy-six".