16217064235008 has 2240 divisors, whose sum is σ = 63216387460800. Its totient is φ = 4129544208384.

The previous prime is 16217064234977. The next prime is 16217064235013. The reversal of 16217064235008 is 80053246071261.

16217064235008 is a `hidden beast` number, since 1 + 6 + 2 + 170 + 6 + 423 + 50 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 559209111538 + ... + 559209111566.

It is an arithmetic number, because the mean of its divisors is an integer number (28221601545).

Almost surely, 2^{16217064235008} is an apocalyptic number.

16217064235008 is a gapful number since it is divisible by the number (18) 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 16217064235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31608193730400).

16217064235008 is an abundant number, since it is smaller than the sum of its proper divisors (46999323225792).

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

16217064235008 is an frugal number, since it uses more digits than its factorization.

16217064235008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16217064235008 in words is "sixteen trillion, two hundred seventeen billion, sixty-four million, two hundred thirty-five thousand, eight".