1616689363081 has 27 divisors (see below), whose sum is σ = 1789515870933. Its totient is φ = 1459875106560.

The previous prime is 1616689363067. The next prime is 1616689363099. The reversal of 1616689363081 is 1803639866161.

The square root of 1616689363081 is 1271491.

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 389282405625 + 1227406957456 = 623925^2 + 1107884^2 .

It is not a de Polignac number, because 1616689363081 - 2¹¹ = 1616689361033 is a prime.

It is a super-2 number, since 2×1616689363081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1616689361081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 776879961 + ... + 776882041.

Almost surely, 2^{1616689363081} is an apocalyptic number.

1616689363081 is the 1271491-st square number.

1616689363081 is the 635746-th centered octagonal number.

It is an amenable number.

1616689363081 is a deficient number, since it is larger than the sum of its proper divisors (172826507852).

1616689363081 is an frugal number, since it uses more digits than its factorization.

1616689363081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The spelling of 1616689363081 in words is "one trillion, six hundred sixteen billion, six hundred eighty-nine million, three hundred sixty-three thousand, eighty-one".