19454168096064 has 336 divisors, whose sum is σ = 60281430343680. Its totient is φ = 5962995118080.

The previous prime is 19454168095993. The next prime is 19454168096089. The reversal of 19454168096064 is 46069086145491.

It is a happy number.

19454168096064 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 4 + 16 + 8 + 0 + 9 + 606 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19454168095992 and 19454168096010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2375062209 + ... + 2375070399.

It is an arithmetic number, because the mean of its divisors is an integer number (179409018880).

Almost surely, 2^{19454168096064} 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 19454168096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30140715171840).

19454168096064 is an abundant number, since it is smaller than the sum of its proper divisors (40827262247616).

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

19454168096064 is a wasteful number, since it uses less digits than its factorization.

19454168096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9398 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 19454168096064 in words is "nineteen trillion, four hundred fifty-four billion, one hundred sixty-eight million, ninety-six thousand, sixty-four".