16612337920896 has 640 divisors, whose sum is σ = 56879044992000. Its totient is φ = 4778111877120.

The previous prime is 16612337920831. The next prime is 16612337920933. The reversal of 16612337920896 is 69802973321661.

16612337920896 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 2 + 337 + 9 + 208 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103734775 + ... + 103894793.

It is an arithmetic number, because the mean of its divisors is an integer number (88873507800).

Almost surely, 2^{16612337920896} is an apocalyptic number.

16612337920896 is a gapful number since it is divisible by the number (16) 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 16612337920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28439522496000).

16612337920896 is an abundant number, since it is smaller than the sum of its proper divisors (40266707071104).

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

16612337920896 is a wasteful number, since it uses less digits than its factorization.

16612337920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160112 (or 160091 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 16612337920896 in words is "sixteen trillion, six hundred twelve billion, three hundred thirty-seven million, nine hundred twenty thousand, eight hundred ninety-six".