114154015000 has 80 divisors (see below), whose sum is σ = 268865435520. Its totient is φ = 45422160000.

The previous prime is 114154014983. The next prime is 114154015039. The reversal of 114154015000 is 510451411.

It is a happy number.

It is a super-2 number, since 2×114154015000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 895234 + ... + 1014766.

It is an arithmetic number, because the mean of its divisors is an integer number (3360817944).

Almost surely, 2^114154015000 is an apocalyptic number.

114154015000 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 114154015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134432717760).

114154015000 is an abundant number, since it is smaller than the sum of its proper divisors (154711420520).

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

114154015000 is a wasteful number, since it uses less digits than its factorization.

114154015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119750 (or 119731 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 114154015000 its reverse (510451411), we get a palindrome (114664466411).

The spelling of 114154015000 in words is "one hundred fourteen billion, one hundred fifty-four million, fifteen thousand".