500441606563104 has 96 divisors (see below), whose sum is σ = 1459996682760000. Its totient is φ = 166770973965312.

The previous prime is 500441606563057. The next prime is 500441606563159. The reversal of 500441606563104 is 401365606144005.

500441606563104 is a `hidden beast` number, since 5 + 0 + 0 + 4 + 4 + 1 + 6 + 0 + 6 + 5 + 631 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×500441606563104² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 500441606563104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71108254 + ... + 77828445.

It is an arithmetic number, because the mean of its divisors is an integer number (15208298778750).

Almost surely, 2^{500441606563104} is an apocalyptic number.

500441606563104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

500441606563104 is an abundant number, since it is smaller than the sum of its proper divisors (959555076196896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

500441606563104 is a wasteful number, since it uses less digits than its factorization.

500441606563104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148940607 (or 148940593 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 500441606563104 in words is "five hundred trillion, four hundred forty-one billion, six hundred six million, five hundred sixty-three thousand, one hundred four".