19648494114480 has 1920 divisors, whose sum is σ = 90287921203200. Its totient is φ = 3831136911360.

The previous prime is 19648494114451. The next prime is 19648494114551. The reversal of 19648494114480 is 8441149484691.

It is a happy number.

19648494114480 is a `hidden beast` number, since 1 + 9 + 6 + 484 + 9 + 4 + 1 + 144 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13467095991 + ... + 13467097449.

It is an arithmetic number, because the mean of its divisors is an integer number (47024958960).

Almost surely, 2^{19648494114480} is an apocalyptic number.

19648494114480 is a gapful number since it is divisible by the number (10) 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 19648494114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45143960601600).

19648494114480 is an abundant number, since it is smaller than the sum of its proper divisors (70639427088720).

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

19648494114480 is a wasteful number, since it uses less digits than its factorization.

19648494114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 19648494114480 in words is "nineteen trillion, six hundred forty-eight billion, four hundred ninety-four million, one hundred fourteen thousand, four hundred eighty".