61474389822144 has 840 divisors, whose sum is σ = 201494094333840. Its totient is φ = 18422317928448.

The previous prime is 61474389822143. The next prime is 61474389822149. The reversal of 61474389822144 is 44122898347416.

61474389822144 is a `hidden beast` number, since 6 + 1 + 474 + 3 + 89 + 82 + 2 + 1 + 4 + 4 = 666.

61474389822144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61474389822143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77132232754 + ... + 77132233550.

It is an arithmetic number, because the mean of its divisors is an integer number (239873921826).

Almost surely, 2^{61474389822144} is an apocalyptic number.

61474389822144 is a gapful number since it is divisible by the number (64) 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 61474389822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100747047166920).

61474389822144 is an abundant number, since it is smaller than the sum of its proper divisors (140019704511696).

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

61474389822144 is a wasteful number, since it uses less digits than its factorization.

61474389822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1477 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 61474389822144 in words is "sixty-one trillion, four hundred seventy-four billion, three hundred eighty-nine million, eight hundred twenty-two thousand, one hundred forty-four".