19131864768 has 336 divisors, whose sum is σ = 59746347360. Its totient is φ = 5999616000.

The previous prime is 19131864707. The next prime is 19131864781. The reversal of 19131864768 is 86746813191.

19131864768 is a `hidden beast` number, since 1 + 91 + 3 + 1 + 86 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68084788 + ... + 68085068.

It is an arithmetic number, because the mean of its divisors is an integer number (177816510).

Almost surely, 2^19131864768 is an apocalyptic number.

19131864768 is a gapful number since it is divisible by the number (18) 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 19131864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29873173680).

19131864768 is an abundant number, since it is smaller than the sum of its proper divisors (40614482592).

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

19131864768 is a wasteful number, since it uses less digits than its factorization.

19131864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 358 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

It can be divided in two parts, 1913 and 1864768, that added together give a palindrome (1866681).

The spelling of 19131864768 in words is "nineteen billion, one hundred thirty-one million, eight hundred sixty-four thousand, seven hundred sixty-eight".