496436668416 has 144 divisors (see below), whose sum is σ = 1544093312580. Its totient is φ = 152749670400.

The previous prime is 496436668373. The next prime is 496436668477. The reversal of 496436668416 is 614866634694.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 466543641600 + 29893026816 = 683040^2 + 172896^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796285 + ... + 1275516.

Almost surely, 2^496436668416 is an apocalyptic number.

It is an amenable number.

496436668416 is an abundant number, since it is smaller than the sum of its proper divisors (1047656644164).

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

496436668416 is a wasteful number, since it uses less digits than its factorization.

496436668416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071842 (or 2071819 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 496436668416 in words is "four hundred ninety-six billion, four hundred thirty-six million, six hundred sixty-eight thousand, four hundred sixteen".