19172144313 has 48 divisors (see below), whose sum is σ = 34259276160. Its totient is φ = 10378868256.

The previous prime is 19172144291. The next prime is 19172144359. The reversal of 19172144313 is 31344127191.

It is a happy number.

19172144313 is a `hidden beast` number, since 1 + 9 + 1 + 7 + 214 + 431 + 3 = 666.

It is not a de Polignac number, because 19172144313 - 2²⁶ = 19105035449 is a prime.

It is a super-3 number, since 3×19172144313³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (19172144363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72270 + ... + 208727.

It is an arithmetic number, because the mean of its divisors is an integer number (713734920).

Almost surely, 2^19172144313 is an apocalyptic number.

It is an amenable number.

19172144313 is a deficient number, since it is larger than the sum of its proper divisors (15087131847).

19172144313 is a wasteful number, since it uses less digits than its factorization.

19172144313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281051 (or 281026 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The spelling of 19172144313 in words is "nineteen billion, one hundred seventy-two million, one hundred forty-four thousand, three hundred thirteen".