19161216338688 has 216 divisors, whose sum is σ = 59923049384016. Its totient is φ = 5864742912000.

The previous prime is 19161216338623. The next prime is 19161216338689. The reversal of 19161216338688 is 88683361216191.

19161216338688 is a `hidden beast` number, since 1 + 9 + 1 + 6 + 1 + 216 + 338 + 6 + 88 = 666.

19161216338688 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×19161216338688² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19161216338689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4360038 + ... + 7571813.

It is an arithmetic number, because the mean of its divisors is an integer number (277421524926).

Almost surely, 2^{19161216338688} is an apocalyptic number.

19161216338688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19161216338688 is an abundant number, since it is smaller than the sum of its proper divisors (40761833045328).

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

19161216338688 is a wasteful number, since it uses less digits than its factorization.

19161216338688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11931931 (or 11931914 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 19161216338688 in words is "nineteen trillion, one hundred sixty-one billion, two hundred sixteen million, three hundred thirty-eight thousand, six hundred eighty-eight".