11723112016 has 240 divisors, whose sum is σ = 29881355328. Its totient is φ = 4402944000.

The previous prime is 11723112013. The next prime is 11723112019. The reversal of 11723112016 is 61021132711.

It is an interprime number because it is at equal distance from previous prime (11723112013) and next prime (11723112019).

It is a super-3 number, since 3×11723112016³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11723112013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37453876 + ... + 37454188.

Almost surely, 2^11723112016 is an apocalyptic number.

11723112016 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 11723112016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940677664).

11723112016 is an abundant number, since it is smaller than the sum of its proper divisors (18158243312).

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

11723112016 is a wasteful number, since it uses less digits than its factorization.

11723112016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 11723112016 its reverse (61021132711), we get a palindrome (72744244727).

The spelling of 11723112016 in words is "eleven billion, seven hundred twenty-three million, one hundred twelve thousand, sixteen".