19385691401664 has 1344 divisors, whose sum is σ = 72367854451200. Its totient is φ = 5056166707200.

The previous prime is 19385691401663. The next prime is 19385691401689. The reversal of 19385691401664 is 46610419658391.

19385691401664 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 569 + 1 + 4 + 0 + 1 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×19385691401664² (a number of 27 digits) contains 22 as substring.

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 (19385691401663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5474635734 + ... + 5474639274.

It is an arithmetic number, because the mean of its divisors is an integer number (53845129800).

Almost surely, 2^{19385691401664} is an apocalyptic number.

19385691401664 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 19385691401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36183927225600).

19385691401664 is an abundant number, since it is smaller than the sum of its proper divisors (52982163049536).

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

19385691401664 is a wasteful number, since it uses less digits than its factorization.

19385691401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 19385691401664 in words is "nineteen trillion, three hundred eighty-five billion, six hundred ninety-one million, four hundred one thousand, six hundred sixty-four".