114828324030 has 320 divisors, whose sum is σ = 363606122880. Its totient is φ = 25455513600.

The previous prime is 114828323993. The next prime is 114828324041. The reversal of 114828324030 is 30423828411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42075706 + ... + 42078434.

It is an arithmetic number, because the mean of its divisors is an integer number (1136269134).

Almost surely, 2^114828324030 is an apocalyptic number.

114828324030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114828324030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181803061440).

114828324030 is an abundant number, since it is smaller than the sum of its proper divisors (248777798850).

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

114828324030 is a wasteful number, since it uses less digits than its factorization.

114828324030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 114828324030 in words is "one hundred fourteen billion, eight hundred twenty-eight million, three hundred twenty-four thousand, thirty".