914006016 has 504 divisors, whose sum is σ = 3496263264. Its totient is φ = 227082240.

The previous prime is 914005999. The next prime is 914006029. The reversal of 914006016 is 610600419.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39739381 + ... + 39739403.

Almost surely, 2^914006016 is an apocalyptic number.

914006016 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 914006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748131632).

914006016 is an abundant number, since it is smaller than the sum of its proper divisors (2582257248).

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

914006016 is a wasteful number, since it uses less digits than its factorization.

914006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 914006016 is about 30232.5324112950. The cubic root of 914006016 is about 970.4720188265.

The spelling of 914006016 in words is "nine hundred fourteen million, six thousand, sixteen".