114490521600 has 576 divisors, whose sum is σ = 465890181120. Its totient is φ = 24153292800.

The previous prime is 114490521599. The next prime is 114490521643. The reversal of 114490521600 is 6125094411.

114490521600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 13973505 + ... + 13981695.

It is an arithmetic number, because the mean of its divisors is an integer number (808837120).

Almost surely, 2^114490521600 is an apocalyptic number.

114490521600 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 114490521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232945090560).

114490521600 is an abundant number, since it is smaller than the sum of its proper divisors (351399659520).

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

114490521600 is a wasteful number, since it uses less digits than its factorization.

114490521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 114490521600 in words is "one hundred fourteen billion, four hundred ninety million, five hundred twenty-one thousand, six hundred".