11014848768 has 648 divisors, whose sum is σ = 39048821280. Its totient is φ = 2743910400.

The previous prime is 11014848763. The next prime is 11014848773. The reversal of 11014848768 is 86784841011.

It is an interprime number because it is at equal distance from previous prime (11014848763) and next prime (11014848773).

It is a super-2 number, since 2×11014848768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11014848763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 186692323 + ... + 186692381.

Almost surely, 2^11014848768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19524410640).

11014848768 is an abundant number, since it is smaller than the sum of its proper divisors (28033972512).

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

11014848768 is a wasteful number, since it uses less digits than its factorization.

11014848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The spelling of 11014848768 in words is "eleven billion, fourteen million, eight hundred forty-eight thousand, seven hundred sixty-eight".