17920048103424 has 1152 divisors, whose sum is σ = 60382647763200. Its totient is φ = 5218385264640.

The previous prime is 17920048103413. The next prime is 17920048103479. The reversal of 17920048103424 is 42430184002971.

17920048103424 is a `hidden beast` number, since 1 + 7 + 9 + 200 + 4 + 8 + 10 + 3 + 424 = 666.

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

It is a super-2 number, since 2×17920048103424² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 17920048103424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69727813504 + ... + 69727813760.

It is an arithmetic number, because the mean of its divisors is an integer number (52415492850).

Almost surely, 2^{17920048103424} 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 17920048103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191323881600).

17920048103424 is an abundant number, since it is smaller than the sum of its proper divisors (42462599659776).

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

17920048103424 is an equidigital number, since it uses as much as digits as its factorization.

17920048103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 17920048103424 in words is "seventeen trillion, nine hundred twenty billion, forty-eight million, one hundred three thousand, four hundred twenty-four".