11704147768368 has 320 divisors, whose sum is σ = 37870886822400. Its totient is φ = 3429675095040.

The previous prime is 11704147768361. The next prime is 11704147768373. The reversal of 11704147768368 is 86386774140711.

It is a happy number.

11704147768368 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 41 + 477 + 68 + 3 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (11704147768361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28455118 + ... + 28863506.

It is an arithmetic number, because the mean of its divisors is an integer number (118346521320).

Almost surely, 2^{11704147768368} is an apocalyptic number.

11704147768368 is a gapful number since it is divisible by the number (18) 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 11704147768368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935443411200).

11704147768368 is an abundant number, since it is smaller than the sum of its proper divisors (26166739054032).

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

11704147768368 is a wasteful number, since it uses less digits than its factorization.

11704147768368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408617 (or 408605 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

It can be divided in two parts, 11704147 and 768368, that added together give a triangular number (12472515 = T₄₉₉₄).

The spelling of 11704147768368 in words is "eleven trillion, seven hundred four billion, one hundred forty-seven million, seven hundred sixty-eight thousand, three hundred sixty-eight".