114505250233504 has 192 divisors, whose sum is σ = 263249614704384. Its totient is φ = 48542888411136.

The previous prime is 114505250233441. The next prime is 114505250233571. The reversal of 114505250233504 is 405332052505411.

It is a super-2 number, since 2×114505250233504² (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368713237 + ... + 369023659.

It is an arithmetic number, because the mean of its divisors is an integer number (1371091743252).

Almost surely, 2^{114505250233504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114505250233504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131624807352192).

114505250233504 is an abundant number, since it is smaller than the sum of its proper divisors (148744364470880).

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

114505250233504 is a wasteful number, since it uses less digits than its factorization.

114505250233504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311719 (or 311711 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 114505250233504 in words is "one hundred fourteen trillion, five hundred five billion, two hundred fifty million, two hundred thirty-three thousand, five hundred four".