46641373643601 has 27 divisors (see below), whose sum is σ = 74052639760827. Its totient is φ = 28267362588960.

The previous prime is 46641373643561. The next prime is 46641373643677. The reversal of 46641373643601 is 10634637314664.

The square root of 46641373643601 is 6829449.

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

46641373643601 is a `hidden beast` number, since 4 + 66 + 413 + 73 + 6 + 43 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1353534462225 + 45287839181376 = 1163415^2 + 6729624^2 .

It is not a de Polignac number, because 46641373643601 - 2¹⁷ = 46641373512529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46641373643701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 225268341 + ... + 225475293.

Almost surely, 2^{46641373643601} is an apocalyptic number.

46641373643601 is the 6829449-th square number.

46641373643601 is the 3414725-th centered octagonal number.

It is an amenable number.

46641373643601 is a deficient number, since it is larger than the sum of its proper divisors (27411266117226).

46641373643601 is an frugal number, since it uses more digits than its factorization.

46641373643601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413934 (or 206967 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 46641373643601 in words is "forty-six trillion, six hundred forty-one billion, three hundred seventy-three million, six hundred forty-three thousand, six hundred one".