114522685440 has 256 divisors, whose sum is σ = 385786195200. Its totient is φ = 28929687552.

The previous prime is 114522685411. The next prime is 114522685441. The reversal of 114522685440 is 44586225411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 114522685392 and 114522685401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114522685441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9332749 + ... + 9345011.

It is an arithmetic number, because the mean of its divisors is an integer number (1506977325).

Almost surely, 2^114522685440 is an apocalyptic number.

114522685440 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 114522685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192893097600).

114522685440 is an abundant number, since it is smaller than the sum of its proper divisors (271263509760).

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

114522685440 is an equidigital number, since it uses as much as digits as its factorization.

114522685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 114522685440 in words is "one hundred fourteen billion, five hundred twenty-two million, six hundred eighty-five thousand, four hundred forty".