1016039808144 has 135 divisors (see below), whose sum is σ = 3001713906009. Its totient is φ = 320782101120.

The previous prime is 1016039808139. The next prime is 1016039808167. The reversal of 1016039808144 is 4418089306101.

The square root of 1016039808144 is 1007988.

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., 843848006544 + 172191801600 = 918612^2 + 414960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1016039808144.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229819054 + ... + 229823474.

Almost surely, 2^{1016039808144} is an apocalyptic number.

1016039808144 is the 1007988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016039808144

1016039808144 is an abundant number, since it is smaller than the sum of its proper divisors (1985674097865).

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

1016039808144 is an frugal number, since it uses more digits than its factorization.

1016039808144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1016039808144 in words is "one trillion, sixteen billion, thirty-nine million, eight hundred eight thousand, one hundred forty-four".