19416449795072 has 352 divisors, whose sum is σ = 43920019324800. Its totient is φ = 8575425576960.

The previous prime is 19416449794993. The next prime is 19416449795159. The reversal of 19416449795072 is 27059794461491.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 19416449794993 and 19416449795011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7156817588 + ... + 7156820300.

Almost surely, 2^{19416449795072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19416449795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21960009662400).

19416449795072 is an abundant number, since it is smaller than the sum of its proper divisors (24503569529728).

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

19416449795072 is an equidigital number, since it uses as much as digits as its factorization.

19416449795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 68.

The spelling of 19416449795072 in words is "nineteen trillion, four hundred sixteen billion, four hundred forty-nine million, seven hundred ninety-five thousand, seventy-two".