1046141634768 has 160 divisors (see below), whose sum is σ = 2758741286400. Its totient is φ = 341545228800.

The previous prime is 1046141634767. The next prime is 1046141634821. The reversal of 1046141634768 is 8674361416401.

It is a self number, because there is not a number n which added to its sum of digits gives 1046141634768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046141634767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 615738783 + ... + 615740481.

It is an arithmetic number, because the mean of its divisors is an integer number (17242133040).

Almost surely, 2^{1046141634768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046141634768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379370643200).

1046141634768 is an abundant number, since it is smaller than the sum of its proper divisors (1712599651632).

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

1046141634768 is a wasteful number, since it uses less digits than its factorization.

1046141634768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 1046141634768 in words is "one trillion, forty-six billion, one hundred forty-one million, six hundred thirty-four thousand, seven hundred sixty-eight".