19616338280448 has 1408 divisors, whose sum is σ = 73959319203840. Its totient is φ = 5063464452096.

The previous prime is 19616338280443. The next prime is 19616338280471. The reversal of 19616338280448 is 84408283361691.

19616338280448 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 6 + 33 + 82 + 80 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19616338280443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417368899561 + ... + 417368899607.

Almost surely, 2^{19616338280448} is an apocalyptic number.

19616338280448 is a gapful number since it is divisible by the number (18) 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 19616338280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36979659601920).

19616338280448 is an abundant number, since it is smaller than the sum of its proper divisors (54342980923392).

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

19616338280448 is an frugal number, since it uses more digits than its factorization.

19616338280448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 19616338280448 in words is "nineteen trillion, six hundred sixteen billion, three hundred thirty-eight million, two hundred eighty thousand, four hundred forty-eight".