19811362548672 has 168 divisors, whose sum is σ = 57607120890176. Its totient is φ = 6508398034944.

The previous prime is 19811362548667. The next prime is 19811362548689. The reversal of 19811362548672 is 27684526311891.

It is a happy number.

19811362548672 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 13 + 6 + 2 + 548 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55620168 + ... + 55975224.

Almost surely, 2^{19811362548672} is an apocalyptic number.

19811362548672 is a gapful number since it is divisible by the number (12) 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 19811362548672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28803560445088).

19811362548672 is an abundant number, since it is smaller than the sum of its proper divisors (37795758341504).

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

19811362548672 is a wasteful number, since it uses less digits than its factorization.

19811362548672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356475 (or 356462 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 19811362548672 in words is "nineteen trillion, eight hundred eleven billion, three hundred sixty-two million, five hundred forty-eight thousand, six hundred seventy-two".