114353220004452 has 288 divisors, whose sum is σ = 340378391808000. Its totient is φ = 31913110736640.

The previous prime is 114353220004433. The next prime is 114353220004481. The reversal of 114353220004452 is 254400022353411.

It is a happy number.

114353220004452 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 5 + 3 + 2 + 200 + 0 + 445 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14506303303 + ... + 14506311185.

It is an arithmetic number, because the mean of its divisors is an integer number (1181869416000).

Almost surely, 2^{114353220004452} is an apocalyptic number.

114353220004452 is a gapful number since it is divisible by the number (12) 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 114353220004452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170189195904000).

114353220004452 is an abundant number, since it is smaller than the sum of its proper divisors (226025171803548).

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

114353220004452 is a wasteful number, since it uses less digits than its factorization.

114353220004452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14063 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 114353220004452 its reverse (254400022353411), we get a palindrome (368753242357863).

The spelling of 114353220004452 in words is "one hundred fourteen trillion, three hundred fifty-three billion, two hundred twenty million, four thousand, four hundred fifty-two".