16628248950625 has 45 divisors (see below), whose sum is σ = 22501762389711. Its totient is φ = 12278343636000.

The previous prime is 16628248950611. The next prime is 16628248950629. The reversal of 16628248950625 is 52605984282661.

The square root of 16628248950625 is 4077775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 16424223287761 + 204025662864 = 4052681^2 + 451692^2 .

It is not a de Polignac number, because 16628248950625 - 2³¹ = 16626101466977 is a prime.

It is a super-2 number, since 2×16628248950625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16628248950629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1325270602 + ... + 1325283148.

Almost surely, 2^{16628248950625} is an apocalyptic number.

16628248950625 is the 4077775-th square number.

16628248950625 is the 2038888-th centered octagonal number.

It is an amenable number.

16628248950625 is a deficient number, since it is larger than the sum of its proper divisors (5873513439086).

16628248950625 is an frugal number, since it uses more digits than its factorization.

16628248950625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25140 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 64.

The spelling of 16628248950625 in words is "sixteen trillion, six hundred twenty-eight billion, two hundred forty-eight million, nine hundred fifty thousand, six hundred twenty-five".