1012885163264 has 288 divisors, whose sum is σ = 2386052444160. Its totient is φ = 424673280000.

The previous prime is 1012885163263. The next prime is 1012885163291. The reversal of 1012885163264 is 4623615882101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012885163263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1317145472 + ... + 1317146240.

It is an arithmetic number, because the mean of its divisors is an integer number (8284904320).

Almost surely, 2^{1012885163264} 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 1012885163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193026222080).

1012885163264 is an abundant number, since it is smaller than the sum of its proper divisors (1373167280896).

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

1012885163264 is a wasteful number, since it uses less digits than its factorization.

1012885163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 1012885163264 in words is "one trillion, twelve billion, eight hundred eighty-five million, one hundred sixty-three thousand, two hundred sixty-four".