61346630743281 has 81 divisors (see below), whose sum is σ = 98060349216609. Its totient is φ = 36939896577792.

The previous prime is 61346630743273. The next prime is 61346630743339. The reversal of 61346630743281 is 18234703664316.

The square root of 61346630743281 is 7832409.

It is a perfect power (a square), and thus also a powerful number.

61346630743281 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 6 + 6 + 307 + 4 + 328 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21194891571681 + 40151739171600 = 4603791^2 + 6336540^2 .

It is not a de Polignac number, because 61346630743281 - 2³ = 61346630743273 is a prime.

It is a super-2 number, since 2×61346630743281² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61346630744281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14356803561 + ... + 14356807833.

Almost surely, 2^{61346630743281} is an apocalyptic number.

61346630743281 is the 7832409-th square number.

61346630743281 is the 3916205-th centered octagonal number.

It is an amenable number.

61346630743281 is a deficient number, since it is larger than the sum of its proper divisors (36713718473328).

61346630743281 is an frugal number, since it uses more digits than its factorization.

61346630743281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 61346630743281 in words is "sixty-one trillion, three hundred forty-six billion, six hundred thirty million, seven hundred forty-three thousand, two hundred eighty-one".