1016162786401 has 81 divisors (see below), whose sum is σ = 1292130552249. Its totient is φ = 796632899328.

The previous prime is 1016162786393. The next prime is 1016162786453. The reversal of 1016162786401 is 1046872616101.

The square root of 1016162786401 is 1008049.

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

It can be written as a sum of positive squares in 4 ways, for example, as 660970626001 + 355192160400 = 813001^2 + 595980^2 .

It is not a de Polignac number, because 1016162786401 - 2³ = 1016162786393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1016162706401) 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 80 ways as a sum of consecutive naturals, for example, 5158186635 + ... + 5158186831.

Almost surely, 2^{1016162786401} is an apocalyptic number.

1016162786401 is the 1008049-th square number.

1016162786401 is the 504025-th centered octagonal number.

It is an amenable number.

1016162786401 is a deficient number, since it is larger than the sum of its proper divisors (275967765848).

1016162786401 is an frugal number, since it uses more digits than its factorization.

1016162786401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 1016162786401 in words is "one trillion, sixteen billion, one hundred sixty-two million, seven hundred eighty-six thousand, four hundred one".