914146382016 has 224 divisors, whose sum is σ = 3095527342080. Its totient is φ = 259127672832.

The previous prime is 914146382011. The next prime is 914146382029. The reversal of 914146382016 is 610283641419.

914146382016 is a `hidden beast` number, since 9 + 1 + 4 + 1 + 4 + 638 + 2 + 0 + 1 + 6 = 666.

914146382016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (914146382011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1238656 + ... + 1833728.

Almost surely, 2^914146382016 is an apocalyptic number.

914146382016 is a gapful number since it is divisible by the number (96) 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 914146382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547763671040).

914146382016 is an abundant number, since it is smaller than the sum of its proper divisors (2181380960064).

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

914146382016 is a wasteful number, since it uses less digits than its factorization.

914146382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595228 (or 595212 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 914146382016 in words is "nine hundred fourteen billion, one hundred forty-six million, three hundred eighty-two thousand, sixteen".