114867642240 has 320 divisors, whose sum is σ = 441770535360. Its totient is φ = 28274946048.

The previous prime is 114867642223. The next prime is 114867642247. The reversal of 114867642240 is 42246768411.

114867642240 is a `hidden beast` number, since 114 + 8 + 6 + 76 + 422 + 40 = 666.

114867642240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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 (114867642247) 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 39 ways as a sum of consecutive naturals, for example, 588697 + ... + 759143.

It is an arithmetic number, because the mean of its divisors is an integer number (1380532923).

Almost surely, 2^114867642240 is an apocalyptic number.

114867642240 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 114867642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220885267680).

114867642240 is an abundant number, since it is smaller than the sum of its proper divisors (326902893120).

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

114867642240 is a wasteful number, since it uses less digits than its factorization.

114867642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170491 (or 170470 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 114867642240 in words is "one hundred fourteen billion, eight hundred sixty-seven million, six hundred forty-two thousand, two hundred forty".