61549175644128 has 72 divisors (see below), whose sum is σ = 175031571464568. Its totient is φ = 20516262565632.

The previous prime is 61549175644123. The next prime is 61549175644169. The reversal of 61549175644128 is 82144657194516.

61549175644128 is a `hidden beast` number, since 6 + 1 + 5 + 4 + 9 + 1 + 7 + 564 + 41 + 28 = 666.

61549175644128 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61549175644123) 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 11 ways as a sum of consecutive naturals, for example, 52325950 + ... + 53489282.

It is an arithmetic number, because the mean of its divisors is an integer number (2430994048119).

Almost surely, 2^{61549175644128} is an apocalyptic number.

It is an amenable number.

61549175644128 is an abundant number, since it is smaller than the sum of its proper divisors (113482395820440).

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

61549175644128 is a wasteful number, since it uses less digits than its factorization.

61549175644128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347056 (or 1347045 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 61549175644128 in words is "sixty-one trillion, five hundred forty-nine billion, one hundred seventy-five million, six hundred forty-four thousand, one hundred twenty-eight".