114110541000 has 192 divisors, whose sum is σ = 385910553600. Its totient is φ = 30412368000.

The previous prime is 114110540927. The next prime is 114110541023. The reversal of 114110541000 is 145011411.

114110541000 is a `hidden beast` number, since 1 + 14 + 110 + 541 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30517131 + ... + 30520869.

It is an arithmetic number, because the mean of its divisors is an integer number (2009950800).

Almost surely, 2^114110541000 is an apocalyptic number.

114110541000 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 114110541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192955276800).

114110541000 is an abundant number, since it is smaller than the sum of its proper divisors (271800012600).

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

114110541000 is a wasteful number, since it uses less digits than its factorization.

114110541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7140 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 114110541000 its reverse (145011411), we get a palindrome (114255552411).

The spelling of 114110541000 in words is "one hundred fourteen billion, one hundred ten million, five hundred forty-one thousand".