46313074447641 has 27 divisors (see below), whose sum is σ = 67075760834173. Its totient is φ = 30792942700800.

The previous prime is 46313074447639. The next prime is 46313074447649. The reversal of 46313074447641 is 14674447031364.

The square root of 46313074447641 is 6805371.

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

46313074447641 is a `hidden beast` number, since 4 + 6 + 3 + 130 + 7 + 4 + 447 + 64 + 1 = 666.

46313074447641 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 2227511475225 + 44085562972416 = 1492485^2 + 6639696^2 .

It is not a de Polignac number, because 46313074447641 - 2¹ = 46313074447639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46313074447649) 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 26 ways as a sum of consecutive naturals, for example, 8186858485 + ... + 8186864141.

Almost surely, 2^{46313074447641} is an apocalyptic number.

46313074447641 is the 6805371-st square number.

46313074447641 is the 3402686-th centered octagonal number.

It is an amenable number.

46313074447641 is a deficient number, since it is larger than the sum of its proper divisors (20762686386532).

46313074447641 is an frugal number, since it uses more digits than its factorization.

46313074447641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 46313074447641 in words is "forty-six trillion, three hundred thirteen billion, seventy-four million, four hundred forty-seven thousand, six hundred forty-one".