61444559913201 has 48 divisors (see below), whose sum is σ = 94604324855040. Its totient is φ = 38375650909440.

The previous prime is 61444559913127. The next prime is 61444559913277. The reversal of 61444559913201 is 10231995544416.

61444559913201 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 45 + 599 + 1 + 3 + 2 + 0 + 1 = 666.

61444559913201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61444559913201 - 2²⁹ = 61444023042289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61444559917201) 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 47 ways as a sum of consecutive naturals, for example, 32504431 + ... + 34342788.

It is an arithmetic number, because the mean of its divisors is an integer number (1970923434480).

Almost surely, 2^{61444559913201} is an apocalyptic number.

It is an amenable number.

61444559913201 is a deficient number, since it is larger than the sum of its proper divisors (33159764941839).

61444559913201 is a wasteful number, since it uses less digits than its factorization.

61444559913201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66847366 (or 66847363 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 61444559913201 in words is "sixty-one trillion, four hundred forty-four billion, five hundred fifty-nine million, nine hundred thirteen thousand, two hundred one".