61414634411305 has 12 divisors (see below), whose sum is σ = 85729816198980. Its totient is φ = 42112892167584.

The previous prime is 61414634411281. The next prime is 61414634411419. The reversal of 61414634411305 is 50311443641416.

It can be written as a sum of positive squares in 2 ways, for example, as 29352676031721 + 32061958379584 = 5417811^2 + 5662328^2 .

It is not a de Polignac number, because 61414634411305 - 2⁹ = 61414634410793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125335988350 + ... + 125335988839.

It is an arithmetic number, because the mean of its divisors is an integer number (7144151349915).

Almost surely, 2^{61414634411305} is an apocalyptic number.

It is an amenable number.

61414634411305 is a deficient number, since it is larger than the sum of its proper divisors (24315181787675).

61414634411305 is a wasteful number, since it uses less digits than its factorization.

61414634411305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250671977208 (or 250671977201 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 61414634411305 in words is "sixty-one trillion, four hundred fourteen billion, six hundred thirty-four million, four hundred eleven thousand, three hundred five".