19101523968 has 126 divisors (see below), whose sum is σ = 55287431589. Its totient is φ = 6354665472.

The previous prime is 19101523927. The next prime is 19101523993. The reversal of 19101523968 is 86932510191.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

19101523968 is a `hidden beast` number, since 19 + 101 + 523 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16995815424 + 2105708544 = 130368^2 + 45888^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=97728.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37527298 + ... + 37527806.

Almost surely, 2^19101523968 is an apocalyptic number.

19101523968 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 19101523968

19101523968 is an abundant number, since it is smaller than the sum of its proper divisors (36185907621).

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

19101523968 is an frugal number, since it uses more digits than its factorization.

19101523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 19101523968 in words is "nineteen billion, one hundred one million, five hundred twenty-three thousand, nine hundred sixty-eight".