1047061443312 has 160 divisors (see below), whose sum is σ = 3093279874560. Its totient is φ = 338968143360.

The previous prime is 1047061443301. The next prime is 1047061443313. The reversal of 1047061443312 is 2133441607401.

1047061443312 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 0 + 614 + 4 + 3 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047061443313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1800268 + ... + 2309780.

It is an arithmetic number, because the mean of its divisors is an integer number (19332999216).

Almost surely, 2^{1047061443312} is an apocalyptic number.

1047061443312 is a gapful number since it is divisible by the number (12) 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 1047061443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546639937280).

1047061443312 is an abundant number, since it is smaller than the sum of its proper divisors (2046218431248).

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

1047061443312 is a wasteful number, since it uses less digits than its factorization.

1047061443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509668 (or 509656 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1047061443312 in words is "one trillion, forty-seven billion, sixty-one million, four hundred forty-three thousand, three hundred twelve".