16173513216 has 320 divisors, whose sum is σ = 54982076160. Its totient is φ = 4598415360.

The previous prime is 16173513199. The next prime is 16173513233. The reversal of 16173513216 is 61231537161.

16173513216 is a `hidden beast` number, since 1 + 61 + 73 + 513 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (16173513199) and next prime (16173513233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38416686 + ... + 38417106.

It is an arithmetic number, because the mean of its divisors is an integer number (171818988).

Almost surely, 2^16173513216 is an apocalyptic number.

16173513216 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 16173513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27491038080).

16173513216 is an abundant number, since it is smaller than the sum of its proper divisors (38808562944).

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

16173513216 is an equidigital number, since it uses as much as digits as its factorization.

16173513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 830 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The spelling of 16173513216 in words is "sixteen billion, one hundred seventy-three million, five hundred thirteen thousand, two hundred sixteen".