9919506936816 has 640 divisors, whose sum is σ = 32803214745600. Its totient is φ = 2849166213120.

The previous prime is 9919506936809. The next prime is 9919506936817. The reversal of 9919506936816 is 6186396059199.

9919506936816 is a `hidden beast` number, since 9 + 9 + 1 + 9 + 506 + 9 + 36 + 81 + 6 = 666.

9919506936816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9919506936817) 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, 4831712046 + ... + 4831714098.

It is an arithmetic number, because the mean of its divisors is an integer number (51255023040).

Almost surely, 2^{9919506936816} 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 9919506936816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401607372800).

9919506936816 is an abundant number, since it is smaller than the sum of its proper divisors (22883707808784).

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

9919506936816 is a wasteful number, since it uses less digits than its factorization.

9919506936816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 170061120, while the sum is 72.

The spelling of 9919506936816 in words is "nine trillion, nine hundred nineteen billion, five hundred six million, nine hundred thirty-six thousand, eight hundred sixteen".