114150394036224 has 1344 divisors, whose sum is σ = 422184346465280. Its totient is φ = 30050560770048.

The previous prime is 114150394036213. The next prime is 114150394036243. The reversal of 114150394036224 is 422630493051411.

It is a happy number.

114150394036224 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 5 + 0 + 394 + 0 + 36 + 224 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114150394036224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208684449519 + ... + 208684450065.

Almost surely, 2^{114150394036224} is an apocalyptic number.

114150394036224 is a gapful number since it is divisible by the number (14) 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 114150394036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211092173232640).

114150394036224 is an abundant number, since it is smaller than the sum of its proper divisors (308033952429056).

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

114150394036224 is an frugal number, since it uses more digits than its factorization.

114150394036224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 114150394036224 in words is "one hundred fourteen trillion, one hundred fifty billion, three hundred ninety-four million, thirty-six thousand, two hundred twenty-four".