11817306144 has 288 divisors, whose sum is σ = 39910800384. Its totient is φ = 3245598720.

The previous prime is 11817306119. The next prime is 11817306167. The reversal of 11817306144 is 44160371811.

11817306144 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 7 + 30 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11817306099 and 11817306108.

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, 10811262 + ... + 10812354.

It is an arithmetic number, because the mean of its divisors is an integer number (138579168).

Almost surely, 2^11817306144 is an apocalyptic number.

11817306144 is a gapful number since it is divisible by the number (14) 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 11817306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955400192).

11817306144 is an abundant number, since it is smaller than the sum of its proper divisors (28093494240).

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

11817306144 is a wasteful number, since it uses less digits than its factorization.

11817306144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 11817306144 its reverse (44160371811), we get a palindrome (55977677955).

The spelling of 11817306144 in words is "eleven billion, eight hundred seventeen million, three hundred six thousand, one hundred forty-four".