1016088192144 has 135 divisors (see below), whose sum is σ = 2866464139123. Its totient is φ = 335998623936.

The previous prime is 1016088192107. The next prime is 1016088192173. The reversal of 1016088192144 is 4412918806101.

The square root of 1016088192144 is 1008012.

It is a perfect power (a square), and thus also a powerful number.

1016088192144 is a `hidden beast` number, since 1 + 0 + 1 + 608 + 8 + 19 + 21 + 4 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1016088192144.

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, 2020055797 + ... + 2020056299.

Almost surely, 2^{1016088192144} is an apocalyptic number.

1016088192144 is the 1008012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016088192144

1016088192144 is an abundant number, since it is smaller than the sum of its proper divisors (1850375946979).

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

1016088192144 is an frugal number, since it uses more digits than its factorization.

1016088192144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1016088192144 in words is "one trillion, sixteen billion, eighty-eight million, one hundred ninety-two thousand, one hundred forty-four".