114453534104000 has 448 divisors, whose sum is σ = 367215172746240. Its totient is φ = 34316197171200.

The previous prime is 114453534103969. The next prime is 114453534104087. The reversal of 114453534104000 is 401435354411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×114453534104000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9694727 + ... + 17969273.

It is an arithmetic number, because the mean of its divisors is an integer number (819676724880).

Almost surely, 2^{114453534104000} is an apocalyptic number.

114453534104000 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 114453534104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183607586373120).

114453534104000 is an abundant number, since it is smaller than the sum of its proper divisors (252761638642240).

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

114453534104000 is a wasteful number, since it uses less digits than its factorization.

114453534104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274613 (or 8274593 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 114453534104000 its reverse (401435354411), we get a palindrome (114854969458411).

The spelling of 114453534104000 in words is "one hundred fourteen trillion, four hundred fifty-three billion, five hundred thirty-four million, one hundred four thousand".