114498827520 has 1152 divisors, whose sum is σ = 487420416000. Its totient is φ = 22189178880.

The previous prime is 114498827519. The next prime is 114498827537. The reversal of 114498827520 is 25728894411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 499994766 + ... + 499994994.

It is an arithmetic number, because the mean of its divisors is an integer number (423108000).

Almost surely, 2^114498827520 is an apocalyptic number.

114498827520 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 114498827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243710208000).

114498827520 is an abundant number, since it is smaller than the sum of its proper divisors (372921588480).

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

114498827520 is a wasteful number, since it uses less digits than its factorization.

114498827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 114498827520 in words is "one hundred fourteen billion, four hundred ninety-eight million, eight hundred twenty-seven thousand, five hundred twenty".