61144368337 has 8 divisors (see below), whose sum is σ = 67453825320. Its totient is φ = 55064346240.

The previous prime is 61144368319. The next prime is 61144368347. The reversal of 61144368337 is 73386344116.

61144368337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 135862336 + 61008506001 = 11656^2 + 246999^2 .

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 61144368337 - 2¹¹ = 61144366289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61144368317) 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, 57358162 + ... + 57359227.

It is an arithmetic number, because the mean of its divisors is an integer number (8431728165).

Almost surely, 2^61144368337 is an apocalyptic number.

It is an amenable number.

61144368337 is a deficient number, since it is larger than the sum of its proper divisors (6309456983).

61144368337 is a wasteful number, since it uses less digits than its factorization.

61144368337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114717443.

The product of its digits is 870912, while the sum is 46.

The spelling of 61144368337 in words is "sixty-one billion, one hundred forty-four million, three hundred sixty-eight thousand, three hundred thirty-seven".