135684664416 has 576 divisors, whose sum is σ = 487783296000. Its totient is φ = 35619139584.

The previous prime is 135684664411. The next prime is 135684664463. The reversal of 135684664416 is 614466486531.

135684664416 is a `hidden beast` number, since 1 + 3 + 568 + 4 + 6 + 64 + 4 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135684664411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72210165 + ... + 72212043.

It is an arithmetic number, because the mean of its divisors is an integer number (846846000).

Almost surely, 2^135684664416 is an apocalyptic number.

135684664416 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 135684664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243891648000).

135684664416 is an abundant number, since it is smaller than the sum of its proper divisors (352098631584).

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

135684664416 is a wasteful number, since it uses less digits than its factorization.

135684664416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1951 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 135684664416 in words is "one hundred thirty-five billion, six hundred eighty-four million, six hundred sixty-four thousand, four hundred sixteen".