19201981385664 has 1008 divisors, whose sum is σ = 70575732864000. Its totient is φ = 4935632486400.

The previous prime is 19201981385647. The next prime is 19201981385689. The reversal of 19201981385664 is 46658318910291.

19201981385664 is a `hidden beast` number, since 1 + 9 + 2 + 0 + 198 + 1 + 385 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 19376368209 + ... + 19376369199.

It is an arithmetic number, because the mean of its divisors is an integer number (70015608000).

Almost surely, 2^{19201981385664} is an apocalyptic number.

19201981385664 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 19201981385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35287866432000).

19201981385664 is an abundant number, since it is smaller than the sum of its proper divisors (51373751478336).

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

19201981385664 is a wasteful number, since it uses less digits than its factorization.

19201981385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 19201981385664 in words is "nineteen trillion, two hundred one billion, nine hundred eighty-one million, three hundred eighty-five thousand, six hundred sixty-four".