1012808783664 has 400 divisors, whose sum is σ = 3197463429600. Its totient is φ = 308281946112.

The previous prime is 1012808783561. The next prime is 1012808783687. The reversal of 1012808783664 is 4663878082101.

1012808783664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1012808783664.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 737660482 + ... + 737661854.

It is an arithmetic number, because the mean of its divisors is an integer number (7993658574).

Almost surely, 2^{1012808783664} 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 1012808783664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598731714800).

1012808783664 is an abundant number, since it is smaller than the sum of its proper divisors (2184654645936).

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

1012808783664 is a wasteful number, since it uses less digits than its factorization.

1012808783664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1012808783664 in words is "one trillion, twelve billion, eight hundred eight million, seven hundred eighty-three thousand, six hundred sixty-four".