11114718720 has 640 divisors, whose sum is σ = 43274373120. Its totient is φ = 2378956800.

The previous prime is 11114718709. The next prime is 11114718731. The reversal of 11114718720 is 2781741111.

It is an interprime number because it is at equal distance from previous prime (11114718709) and next prime (11114718731).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110046670 + ... + 110046770.

It is an arithmetic number, because the mean of its divisors is an integer number (67616208).

Almost surely, 2^11114718720 is an apocalyptic number.

11114718720 is a gapful number since it is divisible by the number (10) 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 11114718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637186560).

11114718720 is an abundant number, since it is smaller than the sum of its proper divisors (32159654400).

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

11114718720 is a wasteful number, since it uses less digits than its factorization.

11114718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 33.

The spelling of 11114718720 in words is "eleven billion, one hundred fourteen million, seven hundred eighteen thousand, seven hundred twenty".