46085993723249 has 2 divisors, whose sum is σ = 46085993723250. Its totient is φ = 46085993723248.

The previous prime is 46085993723239. The next prime is 46085993723251. The reversal of 46085993723249 is 94232739958064.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45671483092624 + 414510630625 = 6758068^2 + 643825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-46085993723249 is a prime.

Together with 46085993723251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (46085993723219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23042996861624 + 23042996861625.

It is an arithmetic number, because the mean of its divisors is an integer number (23042996861625).

Almost surely, 2^{46085993723249} is an apocalyptic number.

It is an amenable number.

46085993723249 is a deficient number, since it is larger than the sum of its proper divisors (1).

46085993723249 is an equidigital number, since it uses as much as digits as its factorization.

46085993723249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705438720, while the sum is 71.

The spelling of 46085993723249 in words is "forty-six trillion, eighty-five billion, nine hundred ninety-three million, seven hundred twenty-three thousand, two hundred forty-nine".