19268131441968 has 60 divisors (see below), whose sum is σ = 53928324668400. Its totient is φ = 6422196187008.

The previous prime is 19268131441961. The next prime is 19268131441987. The reversal of 19268131441968 is 86914413186291.

19268131441968 is a `hidden beast` number, since 1 + 9 + 26 + 8 + 131 + 4 + 419 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19268131441961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3550543 + ... + 7151406.

It is an arithmetic number, because the mean of its divisors is an integer number (898805411140).

Almost surely, 2^{19268131441968} is an apocalyptic number.

19268131441968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19268131441968 is an abundant number, since it is smaller than the sum of its proper divisors (34660193226432).

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

19268131441968 is a wasteful number, since it uses less digits than its factorization.

19268131441968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714466 (or 10714457 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 19268131441968 in words is "nineteen trillion, two hundred sixty-eight billion, one hundred thirty-one million, four hundred forty-one thousand, nine hundred sixty-eight".