11731719168 has 264 divisors, whose sum is σ = 36750216776. Its totient is φ = 3583180800.

The previous prime is 11731719161. The next prime is 11731719179. The reversal of 11731719168 is 86191713711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 437981184 + 11293737984 = 20928^2 + 106272^2 .

It is a super-2 number, since 2×11731719168² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11731719161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21684978 + ... + 21685518.

Almost surely, 2^11731719168 is an apocalyptic number.

11731719168 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 11731719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375108388).

11731719168 is an abundant number, since it is smaller than the sum of its proper divisors (25018497608).

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

11731719168 is a wasteful number, since it uses less digits than its factorization.

11731719168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 740 counting only the distinct ones).

The product of its digits is 63504, while the sum is 45.

The spelling of 11731719168 in words is "eleven billion, seven hundred thirty-one million, seven hundred nineteen thousand, one hundred sixty-eight".