11724410016 has 384 divisors, whose sum is σ = 38407219200. Its totient is φ = 3449825280.

The previous prime is 11724409997. The next prime is 11724410017. The reversal of 11724410016 is 61001442711.

It is a super-3 number, since 3×11724410016³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11724410017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70205965 + ... + 70206131.

It is an arithmetic number, because the mean of its divisors is an integer number (100018800).

Almost surely, 2^11724410016 is an apocalyptic number.

11724410016 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 11724410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203609600).

11724410016 is an abundant number, since it is smaller than the sum of its proper divisors (26682809184).

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

11724410016 is a wasteful number, since it uses less digits than its factorization.

11724410016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11724410016 its reverse (61001442711), we get a palindrome (72725852727).

It can be divided in two parts, 117244 and 10016, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 11724410016 in words is "eleven billion, seven hundred twenty-four million, four hundred ten thousand, sixteen".