19608113891025 has 243 divisors, whose sum is σ = 39511335832059. Its totient is φ = 9288393048000.

The previous prime is 19608113890987. The next prime is 19608113891033. The reversal of 19608113891025 is 52019831180691.

It is a happy number.

The square root of 19608113891025 is 4428105.

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

19608113891025 is a `hidden beast` number, since 1 + 9 + 608 + 1 + 1 + 3 + 8 + 9 + 1 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7058921000769 + 12549192890256 = 2656863^2 + 3542484^2 .

It is not a de Polignac number, because 19608113891025 - 2⁹ = 19608113890513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 34339953990 + ... + 34339954560.

Almost surely, 2^{19608113891025} is an apocalyptic number.

19608113891025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19608113891025 is the 4428105-th square number.

19608113891025 is the 2214053-rd centered octagonal number.

It is an amenable number.

19608113891025 is an abundant number, since it is smaller than the sum of its proper divisors (19903221941034).

19608113891025 is an equidigital number, since it uses as much as digits as its factorization.

19608113891025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 19608113891025 in words is "nineteen trillion, six hundred eight billion, one hundred thirteen million, eight hundred ninety-one thousand, twenty-five".