11162714112 has 512 divisors, whose sum is σ = 38251468800. Its totient is φ = 3185049600.

The previous prime is 11162714083. The next prime is 11162714113. The reversal of 11162714112 is 21141726111.

11162714112 is a `hidden beast` number, since 1 + 11 + 627 + 14 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (672) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11162714113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301694958 + ... + 301694994.

It is an arithmetic number, because the mean of its divisors is an integer number (74709900).

Almost surely, 2^11162714112 is an apocalyptic number.

11162714112 is a gapful number since it is divisible by the number (12) 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 11162714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125734400).

11162714112 is an abundant number, since it is smaller than the sum of its proper divisors (27088754688).

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

11162714112 is an equidigital number, since it uses as much as digits as its factorization.

11162714112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The spelling of 11162714112 in words is "eleven billion, one hundred sixty-two million, seven hundred fourteen thousand, one hundred twelve".