114221424096 has 216 divisors, whose sum is σ = 352560925080. Its totient is φ = 34870113792.

The previous prime is 114221424047. The next prime is 114221424101. The reversal of 114221424096 is 690424122411.

114221424096 is a `hidden beast` number, since 1 + 1 + 4 + 221 + 424 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114221424096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72337035 + ... + 72338613.

It is an arithmetic number, because the mean of its divisors is an integer number (1632226505).

Almost surely, 2^114221424096 is an apocalyptic number.

114221424096 is a gapful number since it is divisible by the number (16) 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 114221424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176280462540).

114221424096 is an abundant number, since it is smaller than the sum of its proper divisors (238339500984).

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

114221424096 is a wasteful number, since it uses less digits than its factorization.

114221424096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 114221424096 in words is "one hundred fourteen billion, two hundred twenty-one million, four hundred twenty-four thousand, ninety-six".