214009090913016 has 640 divisors, whose sum is σ = 692668733644800. Its totient is φ = 60470886389760.

The previous prime is 214009090912999. The next prime is 214009090913029. The reversal of 214009090913016 is 610319090900412.

214009090913016 is a `hidden beast` number, since 21 + 400 + 9 + 0 + 90 + 9 + 130 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 145485445161 + ... + 145485446631.

It is an arithmetic number, because the mean of its divisors is an integer number (1082294896320).

Almost surely, 2^{214009090913016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214009090913016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346334366822400).

214009090913016 is an abundant number, since it is smaller than the sum of its proper divisors (478659642731784).

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

214009090913016 is a wasteful number, since it uses less digits than its factorization.

214009090913016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 214009090913016 in words is "two hundred fourteen trillion, nine billion, ninety million, nine hundred thirteen thousand, sixteen".