19648575852444 has 960 divisors, whose sum is σ = 68539380940800. Its totient is φ = 4757922892800.

The previous prime is 19648575852431. The next prime is 19648575852497. The reversal of 19648575852444 is 44425857584691.

19648575852444 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 8 + 5 + 7 + 58 + 524 + 44 = 666.

It is a super-2 number, since 2×19648575852444² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3625864767 + ... + 3625870185.

It is an arithmetic number, because the mean of its divisors is an integer number (71395188480).

Almost surely, 2^{19648575852444} is an apocalyptic number.

19648575852444 is a gapful number since it is divisible by the number (14) 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 19648575852444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34269690470400).

19648575852444 is an abundant number, since it is smaller than the sum of its proper divisors (48890805088356).

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

19648575852444 is a wasteful number, since it uses less digits than its factorization.

19648575852444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5625 counting only the distinct ones).

The product of its digits is 1548288000, while the sum is 72.

The spelling of 19648575852444 in words is "nineteen trillion, six hundred forty-eight billion, five hundred seventy-five million, eight hundred fifty-two thousand, four hundred forty-four".