46806889801 has 27 divisors (see below), whose sum is σ = 56318391207. Its totient is φ = 38787048720.

The previous prime is 46806889777. The next prime is 46806889867. The reversal of 46806889801 is 10898860864.

The square root of 46806889801 is 216349.

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

It can be written as a sum of positive squares in only one way, i.e., 40290525625 + 6516364176 = 200725^2 + 80724^2 .

It is not a de Polignac number, because 46806889801 - 2¹⁵ = 46806857033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46806881801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46947235 + ... + 46948231.

It is an arithmetic number, because the mean of its divisors is an integer number (2085866341).

Almost surely, 2^46806889801 is an apocalyptic number.

46806889801 is the 216349-th square number.

46806889801 is the 108175-th centered octagonal number.

It is an amenable number.

46806889801 is a deficient number, since it is larger than the sum of its proper divisors (9511501406).

46806889801 is an frugal number, since it uses more digits than its factorization.

46806889801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 58.

The spelling of 46806889801 in words is "forty-six billion, eight hundred six million, eight hundred eighty-nine thousand, eight hundred one".