5841165456 has 240 divisors, whose sum is σ = 20064215808. Its totient is φ = 1548288000.

The previous prime is 5841165433. The next prime is 5841165461. The reversal of 5841165456 is 6545611485.

5841165456 is a `hidden beast` number, since 5 + 84 + 116 + 5 + 456 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1214256 + ... + 1219056.

Almost surely, 2^5841165456 is an apocalyptic number.

5841165456 is a gapful number since it is divisible by the number (56) 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 5841165456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032107904).

5841165456 is an abundant number, since it is smaller than the sum of its proper divisors (14223050352).

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

5841165456 is a wasteful number, since it uses less digits than its factorization.

5841165456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4901 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 5841165456 is about 76427.5176621614. The cubic root of 5841165456 is about 1800.9424546061.

The spelling of 5841165456 in words is "five billion, eight hundred forty-one million, one hundred sixty-five thousand, four hundred fifty-six".