114390000144 has 400 divisors, whose sum is σ = 388724592256. Its totient is φ = 31800729600.

The previous prime is 114390000121. The next prime is 114390000149. The reversal of 114390000144 is 441000093411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114390000149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53677959 + ... + 53680089.

Almost surely, 2^114390000144 is an apocalyptic number.

114390000144 is a gapful number since it is divisible by the number (14) 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 114390000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194362296128).

114390000144 is an abundant number, since it is smaller than the sum of its proper divisors (274334592112).

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

114390000144 is a wasteful number, since it uses less digits than its factorization.

114390000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 114390000144 its reverse (441000093411), we get a palindrome (555390093555).

The spelling of 114390000144 in words is "one hundred fourteen billion, three hundred ninety million, one hundred forty-four", and thus it is an aban number.