1004656135536 has 120 divisors (see below), whose sum is σ = 2928304121184. Its totient is φ = 321245084160.

The previous prime is 1004656135519. The next prime is 1004656135577. The reversal of 1004656135536 is 6355316564001.

It is a happy number.

1004656135536 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 6 + 561 + 3 + 55 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1004656135491 and 1004656135500.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 949611 + ... + 1706186.

Almost surely, 2^{1004656135536} is an apocalyptic number.

1004656135536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004656135536 is an abundant number, since it is smaller than the sum of its proper divisors (1923647985648).

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

1004656135536 is a wasteful number, since it uses less digits than its factorization.

1004656135536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655919 (or 2655910 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 1004656135536 in words is "one trillion, four billion, six hundred fifty-six million, one hundred thirty-five thousand, five hundred thirty-six".