11684364561408 has 1408 divisors, whose sum is σ = 41767446528000. Its totient is φ = 2814781685760.

The previous prime is 11684364561407. The next prime is 11684364561409. The reversal of 11684364561408 is 80416546348611.

It is an interprime number because it is at equal distance from previous prime (11684364561407) and next prime (11684364561409).

It is a tau number, because it is divible by the number of its divisors (1408).

It is not an unprimeable number, because it can be changed into a prime (11684364561407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28568128308 + ... + 28568128716.

Almost surely, 2^{11684364561408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11684364561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20883723264000).

11684364561408 is an abundant number, since it is smaller than the sum of its proper divisors (30083081966592).

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

11684364561408 is a wasteful number, since it uses less digits than its factorization.

11684364561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

It can be divided in two parts, 116843 and 64561408, that added together give a triangular number (64678251 = T₁₁₃₇₃).

The spelling of 11684364561408 in words is "eleven trillion, six hundred eighty-four billion, three hundred sixty-four million, five hundred sixty-one thousand, four hundred eight".