114544145514240 has 648 divisors, whose sum is σ = 430168560297840. Its totient is φ = 28127989334016.

The previous prime is 114544145514203. The next prime is 114544145514241. The reversal of 114544145514240 is 42415541445411.

114544145514240 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 4 + 14 + 551 + 42 + 40 = 666.

It is a super-2 number, since 2×114544145514240² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114544145514241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 815672512 + ... + 815812928.

It is an arithmetic number, because the mean of its divisors is an integer number (663840370830).

Almost surely, 2^{114544145514240} is an apocalyptic number.

114544145514240 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 114544145514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215084280148920).

114544145514240 is an abundant number, since it is smaller than the sum of its proper divisors (315624414783600).

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

114544145514240 is a wasteful number, since it uses less digits than its factorization.

114544145514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140889 (or 140859 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

Adding to 114544145514240 its reverse (42415541445411), we get a palindrome (156959686959651).

The spelling of 114544145514240 in words is "one hundred fourteen trillion, five hundred forty-four billion, one hundred forty-five million, five hundred fourteen thousand, two hundred forty".