11643116137488 has 240 divisors, whose sum is σ = 35691004677120. Its totient is φ = 3513915820800.

The previous prime is 11643116137451. The next prime is 11643116137493. The reversal of 11643116137488 is 88473161134611.

11643116137488 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 3 + 11 + 613 + 7 + 4 + 8 + 8 = 666.

11643116137488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035950973 + ... + 1035962211.

It is an arithmetic number, because the mean of its divisors is an integer number (148712519488).

Almost surely, 2^{11643116137488} is an apocalyptic number.

11643116137488 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 11643116137488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845502338560).

11643116137488 is an abundant number, since it is smaller than the sum of its proper divisors (24047888539632).

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

11643116137488 is a wasteful number, since it uses less digits than its factorization.

11643116137488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13858 (or 13849 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 11643116137488 in words is "eleven trillion, six hundred forty-three billion, one hundred sixteen million, one hundred thirty-seven thousand, four hundred eighty-eight".