16316820217824 has 288 divisors, whose sum is σ = 50514056109216. Its totient is φ = 4597796044800.

The previous prime is 16316820217787. The next prime is 16316820217849. The reversal of 16316820217824 is 42871202861361.

It is a super-3 number, since 3×16316820217824³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122034912 + ... + 122168544.

It is an arithmetic number, because the mean of its divisors is an integer number (175396028157).

Almost surely, 2^{16316820217824} is an apocalyptic number.

16316820217824 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 16316820217824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257028054608).

16316820217824 is an abundant number, since it is smaller than the sum of its proper divisors (34197235891392).

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

16316820217824 is a wasteful number, since it uses less digits than its factorization.

16316820217824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134018 (or 134003 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 16316820217824 in words is "sixteen trillion, three hundred sixteen billion, eight hundred twenty million, two hundred seventeen thousand, eight hundred twenty-four".