6136078906321 has 81 divisors (see below), whose sum is σ = 7823748403611. Its totient is φ = 4796241768864.

The previous prime is 6136078906319. The next prime is 6136078906339. The reversal of 6136078906321 is 1236098706316.

It is a happy number.

The square root of 6136078906321 is 2477111.

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

It can be written as a sum of positive squares in only one way, i.e., 907703980225 + 5228374926096 = 952735^2 + 2286564^2 .

It is not a de Polignac number, because 6136078906321 - 2¹ = 6136078906319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6136078906301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36742987380 + ... + 36742987546.

Almost surely, 2^{6136078906321} is an apocalyptic number.

6136078906321 is the 2477111-st square number.

6136078906321 is the 1238556-th centered octagonal number.

It is an amenable number.

6136078906321 is a deficient number, since it is larger than the sum of its proper divisors (1687669497290).

6136078906321 is an equidigital number, since it uses as much as digits as its factorization.

6136078906321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 6136078906321 in words is "six trillion, one hundred thirty-six billion, seventy-eight million, nine hundred six thousand, three hundred twenty-one".