1013216862768 has 160 divisors (see below), whose sum is σ = 2948382720000. Its totient is φ = 297046099200.

The previous prime is 1013216862767. The next prime is 1013216862809. The reversal of 1013216862768 is 8672686123101.

1013216862768 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 1013216862768.

It is not an unprimeable number, because it can be changed into a prime (1013216862767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78543583 + ... + 78556481.

It is an arithmetic number, because the mean of its divisors is an integer number (18427392000).

Almost surely, 2^{1013216862768} 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 1013216862768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474191360000).

1013216862768 is an abundant number, since it is smaller than the sum of its proper divisors (1935165857232).

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

1013216862768 is a wasteful number, since it uses less digits than its factorization.

1013216862768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17751 (or 17745 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 1013216862768 in words is "one trillion, thirteen billion, two hundred sixteen million, eight hundred sixty-two thousand, seven hundred sixty-eight".