19112136406272 has 2520 divisors, whose sum is σ = 76481507859624. Its totient is φ = 4719479095296.

The previous prime is 19112136406271. The next prime is 19112136406283. The reversal of 19112136406272 is 27260463121191.

19112136406272 is a `hidden beast` number, since 1 + 9 + 1 + 1 + 2 + 13 + 6 + 4 + 0 + 627 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 828507730176 + 18283628676096 = 910224^2 + 4275936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19112136406271) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 99026613408 + ... + 99026613600.

Almost surely, 2^{19112136406272} is an apocalyptic number.

19112136406272 is a gapful number since it is divisible by the number (12) 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 19112136406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38240753929812).

19112136406272 is an abundant number, since it is smaller than the sum of its proper divisors (57369371453352).

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

19112136406272 is an frugal number, since it uses more digits than its factorization.

19112136406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19112136406272 in words is "nineteen trillion, one hundred twelve billion, one hundred thirty-six million, four hundred six thousand, two hundred seventy-two".