114070824000 has 1344 divisors, whose sum is σ = 494507520000. Its totient is φ = 25062912000.

The previous prime is 114070823987. The next prime is 114070824037. The reversal of 114070824000 is 428070411.

114070824000 is a `hidden beast` number, since 11 + 407 + 0 + 8 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 765575926 + ... + 765576074.

Almost surely, 2^114070824000 is an apocalyptic number.

114070824000 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 114070824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247253760000).

114070824000 is an abundant number, since it is smaller than the sum of its proper divisors (380436696000).

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

114070824000 is a wasteful number, since it uses less digits than its factorization.

114070824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 114070824000 its reverse (428070411), we get a palindrome (114498894411).

The spelling of 114070824000 in words is "one hundred fourteen billion, seventy million, eight hundred twenty-four thousand".