61144286845440 has 160 divisors (see below), whose sum is σ = 200753633266560. Its totient is φ = 15864463540224.

The previous prime is 61144286845423. The next prime is 61144286845531. The reversal of 61144286845440 is 4454868244116.

61144286845440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107303620 + ... + 107871939.

It is an arithmetic number, because the mean of its divisors is an integer number (1254710207916).

Almost surely, 2^{61144286845440} is an apocalyptic number.

61144286845440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61144286845440 is an abundant number, since it is smaller than the sum of its proper divisors (139609346421120).

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

61144286845440 is a wasteful number, since it uses less digits than its factorization.

61144286845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215175622 (or 215175606 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 57.

The spelling of 61144286845440 in words is "sixty-one trillion, one hundred forty-four billion, two hundred eighty-six million, eight hundred forty-five thousand, four hundred forty".