11468370816 has 864 divisors, whose sum is σ = 44086980600. Its totient is φ = 2842656768.

The previous prime is 11468370691. The next prime is 11468370817. The reversal of 11468370816 is 61807386411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11468370817) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 309955950 + ... + 309955986.

Almost surely, 2^11468370816 is an apocalyptic number.

11468370816 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 11468370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22043490300).

11468370816 is an abundant number, since it is smaller than the sum of its proper divisors (32618609784).

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

11468370816 is a wasteful number, since it uses less digits than its factorization.

11468370816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11468370816 in words is "eleven billion, four hundred sixty-eight million, three hundred seventy thousand, eight hundred sixteen".