61146705567 has 16 divisors (see below), whose sum is σ = 81812605952. Its totient is φ = 40622869440.

The previous prime is 61146705539. The next prime is 61146705611. The reversal of 61146705567 is 76550764116.

It is not a de Polignac number, because 61146705567 - 2¹⁰ = 61146704543 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61146705167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050642 + ... + 1107312.

It is an arithmetic number, because the mean of its divisors is an integer number (5113287872).

Almost surely, 2^61146705567 is an apocalyptic number.

61146705567 is a deficient number, since it is larger than the sum of its proper divisors (20665900385).

61146705567 is a wasteful number, since it uses less digits than its factorization.

61146705567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57918.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 61146705567 in words is "sixty-one billion, one hundred forty-six million, seven hundred five thousand, five hundred sixty-seven".