5946548160 has 448 divisors, whose sum is σ = 22416113664. Its totient is φ = 1307443200.

The previous prime is 5946548089. The next prime is 5946548183. The reversal of 5946548160 is 618456495.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×5946548160³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31133665 + ... + 31133855.

It is an arithmetic number, because the mean of its divisors is an integer number (50035968).

Almost surely, 2^5946548160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5946548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11208056832).

5946548160 is an abundant number, since it is smaller than the sum of its proper divisors (16469565504).

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

5946548160 is a wasteful number, since it uses less digits than its factorization.

5946548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 5946548160 is about 77113.8649011966. The cubic root of 5946548160 is about 1811.7084649070.

The spelling of 5946548160 in words is "five billion, nine hundred forty-six million, five hundred forty-eight thousand, one hundred sixty".