11723416848 has 640 divisors, whose sum is σ = 42557276160. Its totient is φ = 3038238720.

The previous prime is 11723416813. The next prime is 11723416883. The reversal of 11723416848 is 84861432711.

It is an interprime number because it is at equal distance from previous prime (11723416813) and next prime (11723416883).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52571265 + ... + 52571487.

It is an arithmetic number, because the mean of its divisors is an integer number (66495744).

Almost surely, 2^11723416848 is an apocalyptic number.

11723416848 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 11723416848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21278638080).

11723416848 is an abundant number, since it is smaller than the sum of its proper divisors (30833859312).

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

11723416848 is a wasteful number, since it uses less digits than its factorization.

11723416848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 11723416848 in words is "eleven billion, seven hundred twenty-three million, four hundred sixteen thousand, eight hundred forty-eight".