114181824841920 has 2688 divisors, whose sum is σ = 476684556042240. Its totient is φ = 24790081536000.

The previous prime is 114181824841871. The next prime is 114181824841933. The reversal of 114181824841920 is 29148428181411.

114181824841920 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 182 + 48 + 419 + 2 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 128728099717 + ... + 128728100603.

It is an arithmetic number, because the mean of its divisors is an integer number (177338004480).

Almost surely, 2^{114181824841920} is an apocalyptic number.

114181824841920 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 114181824841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238342278021120).

114181824841920 is an abundant number, since it is smaller than the sum of its proper divisors (362502731200320).

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

114181824841920 is a wasteful number, since it uses less digits than its factorization.

114181824841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 114181824841920 in words is "one hundred fourteen trillion, one hundred eighty-one billion, eight hundred twenty-four million, eight hundred forty-one thousand, nine hundred twenty".