19614323441664 has 480 divisors, whose sum is σ = 66085390800000. Its totient is φ = 5603629989888.

The previous prime is 19614323441627. The next prime is 19614323441677. The reversal of 19614323441664 is 46614432341691.

19614323441664 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 432 + 3 + 44 + 166 + 4 = 666.

It is a super-2 number, since 2×19614323441664² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19614323441664.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1618470997 + ... + 1618483115.

It is an arithmetic number, because the mean of its divisors is an integer number (137677897500).

Almost surely, 2^{19614323441664} is an apocalyptic number.

19614323441664 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 19614323441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33042695400000).

19614323441664 is an abundant number, since it is smaller than the sum of its proper divisors (46471067358336).

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

19614323441664 is an frugal number, since it uses more digits than its factorization.

19614323441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12184 (or 12131 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 19614323441664 in words is "nineteen trillion, six hundred fourteen billion, three hundred twenty-three million, four hundred forty-one thousand, six hundred sixty-four".