114720664240 has 160 divisors (see below), whose sum is σ = 333178675200. Its totient is φ = 35765148672.

The previous prime is 114720664231. The next prime is 114720664249. The reversal of 114720664240 is 42466027411.

It is an interprime number because it is at equal distance from previous prime (114720664231) and next prime (114720664249).

It is a self number, because there is not a number n which added to its sum of digits gives 114720664240.

It is not an unprimeable number, because it can be changed into a prime (114720664249) 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 31 ways as a sum of consecutive naturals, for example, 370161 + ... + 605359.

It is an arithmetic number, because the mean of its divisors is an integer number (2082366720).

Almost surely, 2^114720664240 is an apocalyptic number.

114720664240 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 114720664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166589337600).

114720664240 is an abundant number, since it is smaller than the sum of its proper divisors (218458010960).

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

114720664240 is a wasteful number, since it uses less digits than its factorization.

114720664240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235299 (or 235293 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 114720664240 in words is "one hundred fourteen billion, seven hundred twenty million, six hundred sixty-four thousand, two hundred forty".