19969098248448 has 1152 divisors, whose sum is σ = 67108254796800. Its totient is φ = 5823686246400.

The previous prime is 19969098248441. The next prime is 19969098248467. The reversal of 19969098248448 is 84484289096991.

19969098248448 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 9 + 0 + 98 + 2 + 484 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (19969098248441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14672371288 + ... + 14672372648.

It is an arithmetic number, because the mean of its divisors is an integer number (58253693400).

Almost surely, 2^{19969098248448} is an apocalyptic number.

19969098248448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19969098248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33554127398400).

19969098248448 is an abundant number, since it is smaller than the sum of its proper divisors (47139156548352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19969098248448 is a wasteful number, since it uses less digits than its factorization.

19969098248448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 2579890176, while the sum is 81.

The spelling of 19969098248448 in words is "nineteen trillion, nine hundred sixty-nine billion, ninety-eight million, two hundred forty-eight thousand, four hundred forty-eight".