46081030466601 has 81 divisors (see below), whose sum is σ = 76076862498117. Its totient is φ = 26862121653120.

The previous prime is 46081030466587. The next prime is 46081030466657. The reversal of 46081030466601 is 10666403018064.

The square root of 46081030466601 is 6788301.

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

46081030466601 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 13024556192025 + 33056474274576 = 3608955^2 + 5749476^2 .

It is not a de Polignac number, because 46081030466601 - 2¹³ = 46081030458409 is a prime.

It is a super-2 number, since 2×46081030466601² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46081030462601) 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, 5030126461 + ... + 5030135621.

Almost surely, 2^{46081030466601} is an apocalyptic number.

46081030466601 is the 6788301-st square number.

46081030466601 is the 3394151-st centered octagonal number.

It is an amenable number.

46081030466601 is a deficient number, since it is larger than the sum of its proper divisors (29995832031516).

46081030466601 is an frugal number, since it uses more digits than its factorization.

46081030466601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18392 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 46081030466601 in words is "forty-six trillion, eighty-one billion, thirty million, four hundred sixty-six thousand, six hundred one".