19216890625 has 21 divisors (see below), whose sum is σ = 24042485221. Its totient is φ = 15359650000.

The previous prime is 19216890617. The next prime is 19216890631. The reversal of 19216890625 is 52609861291.

The square root of 19216890625 is 138625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 4211620609 + 15005270016 = 64897^2 + 122496^2 .

It is not a de Polignac number, because 19216890625 - 2³ = 19216890617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 17327571 + ... + 17328679.

Almost surely, 2^19216890625 is an apocalyptic number.

19216890625 is the 138625-th square number.

19216890625 is the 69313-rd centered octagonal number.

It is an amenable number.

19216890625 is a deficient number, since it is larger than the sum of its proper divisors (4825594596).

19216890625 is an frugal number, since it uses more digits than its factorization.

19216890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

Multiplying 19216890625 by its sum of digits (49), we get a square (941627640625 = 970375²).

The spelling of 19216890625 in words is "nineteen billion, two hundred sixteen million, eight hundred ninety thousand, six hundred twenty-five".