61145564455341 has 32 divisors (see below), whose sum is σ = 91154897568000. Its totient is φ = 40507857043200.

The previous prime is 61145564455307. The next prime is 61145564455357. The reversal of 61145564455341 is 14355446554116.

61145564455341 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 5 + 5 + 6 + 44 + 553 + 41 = 666.

It is not a de Polignac number, because 61145564455341 - 2²¹ = 61145562358189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61145564445341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13585641 + ... + 17517441.

It is an arithmetic number, because the mean of its divisors is an integer number (2848590549000).

Almost surely, 2^{61145564455341} is an apocalyptic number.

It is an amenable number.

61145564455341 is a deficient number, since it is larger than the sum of its proper divisors (30009333112659).

61145564455341 is a wasteful number, since it uses less digits than its factorization.

61145564455341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935426 (or 3935420 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 54.

The spelling of 61145564455341 in words is "sixty-one trillion, one hundred forty-five billion, five hundred sixty-four million, four hundred fifty-five thousand, three hundred forty-one".