19628488464025 has 27 divisors (see below), whose sum is σ = 28313316829791. Its totient is φ = 13459428617040.

The previous prime is 19628488464023. The next prime is 19628488464049. The reversal of 19628488464025 is 52046488482691.

The square root of 19628488464025 is 4430405.

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

It can be written as a sum of positive squares in only one way, i.e., 7066255847049 + 12562232616976 = 2658243^2 + 3544324^2 .

It is not a de Polignac number, because 19628488464025 - 2¹ = 19628488464023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19628488464023) 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, 155000884 + ... + 155127466.

Almost surely, 2^{19628488464025} is an apocalyptic number.

19628488464025 is the 4430405-th square number.

19628488464025 is the 2215203-rd centered octagonal number.

It is an amenable number.

19628488464025 is a deficient number, since it is larger than the sum of its proper divisors (8684828365766).

19628488464025 is an frugal number, since it uses more digits than its factorization.

19628488464025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253190 (or 126595 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 67.

The spelling of 19628488464025 in words is "nineteen trillion, six hundred twenty-eight billion, four hundred eighty-eight million, four hundred sixty-four thousand, twenty-five".