114126455520 has 768 divisors, whose sum is σ = 502992322560. Its totient is φ = 23477299200.

The previous prime is 114126455503. The next prime is 114126455549. The reversal of 114126455520 is 25554621411.

114126455520 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 645 + 5 + 5 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34260255 + ... + 34263585.

It is an arithmetic number, because the mean of its divisors is an integer number (654937920).

Almost surely, 2^114126455520 is an apocalyptic number.

114126455520 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 114126455520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251496161280).

114126455520 is an abundant number, since it is smaller than the sum of its proper divisors (388865867040).

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

114126455520 is a wasteful number, since it uses less digits than its factorization.

114126455520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 114126455520 in words is "one hundred fourteen billion, one hundred twenty-six million, four hundred fifty-five thousand, five hundred twenty".