1616587645401 has 27 divisors (see below), whose sum is σ = 2393644652893. Its totient is φ = 1051337402880.

The previous prime is 1616587645367. The next prime is 1616587645417. The reversal of 1616587645401 is 1045467856161.

The square root of 1616587645401 is 1271451.

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

1616587645401 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 587 + 6 + 4 + 54 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1335238025625 + 281349619776 = 1155525^2 + 530424^2 .

It is not a de Polignac number, because 1616587645401 - 2¹¹ = 1616587643353 is a prime.

It is a super-2 number, since 2×1616587645401² (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 (1616587645601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156383305 + ... + 156393641.

Almost surely, 2^{1616587645401} is an apocalyptic number.

1616587645401 is the 1271451-st square number.

1616587645401 is the 635726-th centered octagonal number.

It is an amenable number.

1616587645401 is a deficient number, since it is larger than the sum of its proper divisors (777057007492).

1616587645401 is an frugal number, since it uses more digits than its factorization.

1616587645401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20762 (or 10381 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1616587645401 in words is "one trillion, six hundred sixteen billion, five hundred eighty-seven million, six hundred forty-five thousand, four hundred one".