114505543440 has 240 divisors, whose sum is σ = 389162185776. Its totient is φ = 30169497600.

The previous prime is 114505543423. The next prime is 114505543441. The reversal of 114505543440 is 44345505411.

114505543440 is a `hidden beast` number, since 1 + 14 + 50 + 554 + 3 + 4 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41870981376 + 72634562064 = 204624^2 + 269508^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×114505543440² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114505543395 and 114505543404.

It is not an unprimeable number, because it can be changed into a prime (114505543441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61528110 + ... + 61529970.

Almost surely, 2^114505543440 is an apocalyptic number.

114505543440 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 114505543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194581092888).

114505543440 is an abundant number, since it is smaller than the sum of its proper divisors (274656642336).

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

114505543440 is a wasteful number, since it uses less digits than its factorization.

114505543440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 114505543440 in words is "one hundred fourteen billion, five hundred five million, five hundred forty-three thousand, four hundred forty".