41746342721633 has 12 divisors (see below), whose sum is σ = 45886696986900. Its totient is φ = 37951037789280.

The previous prime is 41746342721599. The next prime is 41746342721641. The reversal of 41746342721633 is 33612724364714.

It can be written as a sum of positive squares in 2 ways, for example, as 35987917014049 + 5758425707584 = 5998993^2 + 2399672^2 .

It is not a de Polignac number, because 41746342721633 - 2¹² = 41746342717537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41746342721663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28702643 + ... + 30121991.

It is an arithmetic number, because the mean of its divisors is an integer number (3823891415575).

Almost surely, 2^{41746342721633} is an apocalyptic number.

It is an amenable number.

41746342721633 is a deficient number, since it is larger than the sum of its proper divisors (4140354265267).

41746342721633 is a wasteful number, since it uses less digits than its factorization.

41746342721633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662448 (or 1662437 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 53.

The spelling of 41746342721633 in words is "forty-one trillion, seven hundred forty-six billion, three hundred forty-two million, seven hundred twenty-one thousand, six hundred thirty-three".