19712465136 has 480 divisors, whose sum is σ = 70562011520. Its totient is φ = 4998537216.

The previous prime is 19712465131. The next prime is 19712465167. The reversal of 19712465136 is 63156421791.

19712465136 is a `hidden beast` number, since 1 + 9 + 7 + 124 + 6 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19712465091 and 19712465100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19712465131) 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 95 ways as a sum of consecutive naturals, for example, 52848246 + ... + 52848618.

Almost surely, 2^19712465136 is an apocalyptic number.

19712465136 is a gapful number since it is divisible by the number (16) 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 19712465136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35281005760).

19712465136 is an abundant number, since it is smaller than the sum of its proper divisors (50849546384).

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

19712465136 is a wasteful number, since it uses less digits than its factorization.

19712465136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 19712465136 in words is "nineteen billion, seven hundred twelve million, four hundred sixty-five thousand, one hundred thirty-six".