114224320223010 has 256 divisors, whose sum is σ = 314713631232000. Its totient is φ = 29462265810432.

The previous prime is 114224320223003. The next prime is 114224320223017. The reversal of 114224320223010 is 10322023422411.

114224320223010 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 432 + 0 + 223 + 0 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114224320223003) and next prime (114224320223017).

It is a super-2 number, since 2×114224320223010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114224320223017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3586417566 + ... + 3586449414.

It is an arithmetic number, because the mean of its divisors is an integer number (1229350122000).

Almost surely, 2^{114224320223010} is an apocalyptic number.

114224320223010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114224320223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157356815616000).

114224320223010 is an abundant number, since it is smaller than the sum of its proper divisors (200489311008990).

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

114224320223010 is a wasteful number, since it uses less digits than its factorization.

114224320223010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34902 (or 34896 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114224320223010 its reverse (10322023422411), we get a palindrome (124546343645421).

The spelling of 114224320223010 in words is "one hundred fourteen trillion, two hundred twenty-four billion, three hundred twenty million, two hundred twenty-three thousand, ten".