61345434761 has 8 divisors (see below), whose sum is σ = 66072204744. Its totient is φ = 56619792000.

The previous prime is 61345434743. The next prime is 61345434769. The reversal of 61345434761 is 16743454316.

It can be written as a sum of positive squares in 4 ways, for example, as 1354240000 + 59991194761 = 36800^2 + 244931^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61345434761 - 2¹⁴ = 61345418377 is a prime.

It is a super-2 number, since 2×61345434761² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61345434769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167036 + ... + 388061.

It is an arithmetic number, because the mean of its divisors is an integer number (8259025593).

Almost surely, 2^61345434761 is an apocalyptic number.

It is an amenable number.

61345434761 is a deficient number, since it is larger than the sum of its proper divisors (4726769983).

61345434761 is a wasteful number, since it uses less digits than its factorization.

61345434761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563611.

The product of its digits is 725760, while the sum is 44.

The spelling of 61345434761 in words is "sixty-one billion, three hundred forty-five million, four hundred thirty-four thousand, seven hundred sixty-one".