114505455524000 has 192 divisors, whose sum is σ = 282722500569600. Its totient is φ = 45577171584000.

The previous prime is 114505455523891. The next prime is 114505455524039. The reversal of 114505455524000 is 425554505411.

It is a super-2 number, since 2×114505455524000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8304109106 + ... + 8304122894.

It is an arithmetic number, because the mean of its divisors is an integer number (1472513023800).

Almost surely, 2^{114505455524000} is an apocalyptic number.

114505455524000 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 114505455524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141361250284800).

114505455524000 is an abundant number, since it is smaller than the sum of its proper divisors (168217045045600).

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

114505455524000 is a wasteful number, since it uses less digits than its factorization.

114505455524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23864 (or 23846 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 41.

The spelling of 114505455524000 in words is "one hundred fourteen trillion, five hundred five billion, four hundred fifty-five million, five hundred twenty-four thousand".