19735047144 has 256 divisors, whose sum is σ = 59572224000. Its totient is φ = 6035420160.

The previous prime is 19735047139. The next prime is 19735047173. The reversal of 19735047144 is 44174053791.

It is a happy number.

19735047144 is a `hidden beast` number, since 1 + 9 + 73 + 504 + 71 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19735047144.

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 63 ways as a sum of consecutive naturals, for example, 19558512 + ... + 19559520.

It is an arithmetic number, because the mean of its divisors is an integer number (232704000).

Almost surely, 2^19735047144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19735047144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29786112000).

19735047144 is an abundant number, since it is smaller than the sum of its proper divisors (39837176856).

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

19735047144 is a wasteful number, since it uses less digits than its factorization.

19735047144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 19735047144 in words is "nineteen billion, seven hundred thirty-five million, forty-seven thousand, one hundred forty-four".