19736406144 has 384 divisors, whose sum is σ = 70884777600. Its totient is φ = 5131911168.

The previous prime is 19736406103. The next prime is 19736406167. The reversal of 19736406144 is 44160463791.

19736406144 is a `hidden beast` number, since 197 + 364 + 0 + 61 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 19736406144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7651447 + ... + 7654025.

It is an arithmetic number, because the mean of its divisors is an integer number (184595775).

Almost surely, 2^19736406144 is an apocalyptic number.

19736406144 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 19736406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35442388800).

19736406144 is an abundant number, since it is smaller than the sum of its proper divisors (51148371456).

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

19736406144 is a wasteful number, since it uses less digits than its factorization.

19736406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 19736406144 in words is "nineteen billion, seven hundred thirty-six million, four hundred six thousand, one hundred forty-four".