1046635315616 has 96 divisors (see below), whose sum is σ = 2321724819456. Its totient is φ = 460133856000.

The previous prime is 1046635315603. The next prime is 1046635315643. The reversal of 1046635315616 is 6165135366401.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19735151 + ... + 19788113.

It is an arithmetic number, because the mean of its divisors is an integer number (24184633536).

Almost surely, 2^{1046635315616} is an apocalyptic number.

1046635315616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046635315616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160862409728).

1046635315616 is an abundant number, since it is smaller than the sum of its proper divisors (1275089503840).

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

1046635315616 is a wasteful number, since it uses less digits than its factorization.

1046635315616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54826 (or 54818 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 47.

The spelling of 1046635315616 in words is "one trillion, forty-six billion, six hundred thirty-five million, three hundred fifteen thousand, six hundred sixteen".