61147586306401 has 16 divisors (see below), whose sum is σ = 75389825775744. Its totient is φ = 48398406660864.

The previous prime is 61147586306383. The next prime is 61147586306407. The reversal of 61147586306401 is 10460368574116.

It is a cyclic number.

It is not a de Polignac number, because 61147586306401 - 2³¹ = 61145438822753 is a prime.

It is a super-2 number, since 2×61147586306401² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61147586306407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4847590515 + ... + 4847603128.

It is an arithmetic number, because the mean of its divisors is an integer number (4711864110984).

Almost surely, 2^{61147586306401} is an apocalyptic number.

It is an amenable number.

61147586306401 is a deficient number, since it is larger than the sum of its proper divisors (14242239469343).

61147586306401 is a wasteful number, since it uses less digits than its factorization.

61147586306401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9695193720.

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 61147586306401 in words is "sixty-one trillion, one hundred forty-seven billion, five hundred eighty-six million, three hundred six thousand, four hundred one".