1046017665952 has 192 divisors, whose sum is σ = 2461994196480. Its totient is φ = 428000477184.

The previous prime is 1046017665947. The next prime is 1046017665977. The reversal of 1046017665952 is 2595667106401.

It is a happy number.

1046017665952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1046017665952.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369224728 + ... + 369227560.

It is an arithmetic number, because the mean of its divisors is an integer number (12822886440).

Almost surely, 2^{1046017665952} 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 1046017665952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230997098240).

1046017665952 is an abundant number, since it is smaller than the sum of its proper divisors (1415976530528).

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

1046017665952 is a wasteful number, since it uses less digits than its factorization.

1046017665952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 1046017665952 in words is "one trillion, forty-six billion, seventeen million, six hundred sixty-five thousand, nine hundred fifty-two".