114222753359460 has 288 divisors, whose sum is σ = 351556648934400. Its totient is φ = 30015155681280.

The previous prime is 114222753359417. The next prime is 114222753359479. The reversal of 114222753359460 is 64953357222411.

It is a happy number.

114222753359460 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 227 + 5 + 3 + 359 + 4 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114222753359397 and 114222753359406.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10235925361 + ... + 10235936519.

It is an arithmetic number, because the mean of its divisors is an integer number (1220682808800).

Almost surely, 2^{114222753359460} is an apocalyptic number.

114222753359460 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 114222753359460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175778324467200).

114222753359460 is an abundant number, since it is smaller than the sum of its proper divisors (237333895574940).

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

114222753359460 is a wasteful number, since it uses less digits than its factorization.

114222753359460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13371 (or 13366 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 114222753359460 in words is "one hundred fourteen trillion, two hundred twenty-two billion, seven hundred fifty-three million, three hundred fifty-nine thousand, four hundred sixty".