11137214088 has 384 divisors, whose sum is σ = 41497747200. Its totient is φ = 2604441600.

The previous prime is 11137214057. The next prime is 11137214107. The reversal of 11137214088 is 88041273111.

It is a Cunningham number, because it is equal to 105533²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2953068 + ... + 2956836.

It is an arithmetic number, because the mean of its divisors is an integer number (108067050).

Almost surely, 2^11137214088 is an apocalyptic number.

11137214088 is a gapful number since it is divisible by the number (18) 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 11137214088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748873600).

11137214088 is an abundant number, since it is smaller than the sum of its proper divisors (30360533112).

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

11137214088 is a wasteful number, since it uses less digits than its factorization.

11137214088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 11137214088 its reverse (88041273111), we get a palindrome (99178487199).

The spelling of 11137214088 in words is "eleven billion, one hundred thirty-seven million, two hundred fourteen thousand, eighty-eight".