19086131212416 has 320 divisors, whose sum is σ = 57254636736000. Its totient is φ = 6311188721664.

The previous prime is 19086131212399. The next prime is 19086131212493. The reversal of 19086131212416 is 61421213168091.

19086131212416 is a `hidden beast` number, since 1 + 9 + 0 + 8 + 6 + 13 + 1 + 212 + 416 = 666.

It is a super-2 number, since 2×19086131212416² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2498507925 + ... + 2498515563.

It is an arithmetic number, because the mean of its divisors is an integer number (178920739800).

Almost surely, 2^{19086131212416} is an apocalyptic number.

19086131212416 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 19086131212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28627318368000).

19086131212416 is an abundant number, since it is smaller than the sum of its proper divisors (38168505523584).

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

19086131212416 is a wasteful number, since it uses less digits than its factorization.

19086131212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9561 (or 9540 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19086131212416 in words is "nineteen trillion, eighty-six billion, one hundred thirty-one million, two hundred twelve thousand, four hundred sixteen".