1046348959744 has 117 divisors (see below), whose sum is σ = 2301541410189. Its totient is φ = 475285831680.

The previous prime is 1046348959717. The next prime is 1046348959763. The reversal of 1046348959744 is 4479598436401.

The square root of 1046348959744 is 1022912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1020584857600 + 25764102144 = 1010240^2 + 160512^2 .

It is a super-2 number, since 2×1046348959744² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 720129322 + ... + 720130774.

Almost surely, 2^{1046348959744} is an apocalyptic number.

1046348959744 is the 1022912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046348959744

1046348959744 is an abundant number, since it is smaller than the sum of its proper divisors (1255192450445).

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

1046348959744 is an frugal number, since it uses more digits than its factorization.

1046348959744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

Multiplying 1046348959744 by its sum of digits (64), we get a square (66966333423616 = 8183296²).

1046348959744 divided by its sum of digits (64) gives a square (16349202496 = 127864²).

The spelling of 1046348959744 in words is "one trillion, forty-six billion, three hundred forty-eight million, nine hundred fifty-nine thousand, seven hundred forty-four".