49816900809 has 81 divisors (see below), whose sum is σ = 80087338773. Its totient is φ = 29826261504.

The previous prime is 49816900789. The next prime is 49816900829. The reversal of 49816900809 is 90800961894.

The square root of 49816900809 is 223197.

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

It is an interprime number because it is at equal distance from previous prime (49816900789) and next prime (49816900829).

It can be written as a sum of positive squares in 4 ways, for example, as 9101732409 + 40715168400 = 95403^2 + 201780^2 .

It is not a de Polignac number, because 49816900809 - 2¹³ = 49816892617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49816900829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 513576249 + ... + 513576345.

Almost surely, 2^49816900809 is an apocalyptic number.

49816900809 is the 223197-th square number.

49816900809 is the 111599-th centered octagonal number.

It is an amenable number.

49816900809 is a deficient number, since it is larger than the sum of its proper divisors (30270437964).

49816900809 is an equidigital number, since it uses as much as digits as its factorization.

49816900809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

It can be divided in two parts, 49816 and 900809, that added together give a square (950625 = 975²).

The spelling of 49816900809 in words is "forty-nine billion, eight hundred sixteen million, nine hundred thousand, eight hundred nine".