16164443360 has 96 divisors (see below), whose sum is σ = 41156180352. Its totient is φ = 5964042240.

The previous prime is 16164443359. The next prime is 16164443431. The reversal of 16164443360 is 6334446161.

It is a happy number.

It is a super-2 number, since 2×16164443360² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4742777 + ... + 4746183.

It is an arithmetic number, because the mean of its divisors is an integer number (428710212).

Almost surely, 2^16164443360 is an apocalyptic number.

16164443360 is a gapful number since it is divisible by the number (10) 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 16164443360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20578090176).

16164443360 is an abundant number, since it is smaller than the sum of its proper divisors (24991736992).

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

16164443360 is a wasteful number, since it uses less digits than its factorization.

16164443360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 16164443360 in words is "sixteen billion, one hundred sixty-four million, four hundred forty-three thousand, three hundred sixty".