114281072640 has 672 divisors, whose sum is σ = 470070095040. Its totient is φ = 26121388032.

The previous prime is 114281072623. The next prime is 114281072641. The reversal of 114281072640 is 46270182411.

It is a happy number.

114281072640 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 1 + 0 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 114281072595 and 114281072604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114281072641) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16325867517 + ... + 16325867523.

It is an arithmetic number, because the mean of its divisors is an integer number (699509070).

Almost surely, 2^114281072640 is an apocalyptic number.

114281072640 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 114281072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235035047520).

114281072640 is an abundant number, since it is smaller than the sum of its proper divisors (355789022400).

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

114281072640 is an frugal number, since it uses more digits than its factorization.

114281072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 114281072640 in words is "one hundred fourteen billion, two hundred eighty-one million, seventy-two thousand, six hundred forty".