499918288401 has 243 divisors, whose sum is σ = 924874608411. Its totient is φ = 269402638176.

The previous prime is 499918288357. The next prime is 499918288409. The reversal of 499918288401 is 104882819994.

The square root of 499918288401 is 707049.

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

499918288401 is a `hidden beast` number, since 49 + 9 + 9 + 182 + 8 + 8 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 262145024001 + 237773264400 = 512001^2 + 487620^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 499918288401 - 2¹¹ = 499918286353 is a prime.

It is a super-2 number, since 2×499918288401² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (499918288409) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 11626006686 + ... + 11626006728.

Almost surely, 2^499918288401 is an apocalyptic number.

499918288401 is the 707049-th square number.

499918288401 is the 353525-th centered octagonal number.

It is an amenable number.

499918288401 is a deficient number, since it is larger than the sum of its proper divisors (424956320010).

499918288401 is an frugal number, since it uses more digits than its factorization.

499918288401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 499918288401 in words is "four hundred ninety-nine billion, nine hundred eighteen million, two hundred eighty-eight thousand, four hundred one".