11214141686340 has 96 divisors (see below), whose sum is σ = 31598235648000. Its totient is φ = 2971531833216.

The previous prime is 11214141686339. The next prime is 11214141686347. The reversal of 11214141686340 is 4368614141211.

11214141686340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11214141686340² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11214141686292 and 11214141686301.

It is not an unprimeable number, because it can be changed into a prime (11214141686347) 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, 29863389 + ... + 30236571.

It is an arithmetic number, because the mean of its divisors is an integer number (329148288000).

Almost surely, 2^{11214141686340} is an apocalyptic number.

11214141686340 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 11214141686340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799117824000).

11214141686340 is an abundant number, since it is smaller than the sum of its proper divisors (20384093961660).

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

11214141686340 is a wasteful number, since it uses less digits than its factorization.

11214141686340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376361 (or 376359 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 11214141686340 in words is "eleven trillion, two hundred fourteen billion, one hundred forty-one million, six hundred eighty-six thousand, three hundred forty".