5641312165632 has 1728 divisors, whose sum is σ = 21834456698880. Its totient is φ = 1419523522560.

The previous prime is 5641312165543. The next prime is 5641312165667. The reversal of 5641312165632 is 2365612131465.

It is a happy number.

5641312165632 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 3 + 1 + 2 + 1 + 6 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4251176553 + ... + 4251177879.

It is an arithmetic number, because the mean of its divisors is an integer number (12635680960).

Almost surely, 2^{5641312165632} is an apocalyptic number.

5641312165632 is a gapful number since it is divisible by the number (52) 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 5641312165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917228349440).

5641312165632 is an abundant number, since it is smaller than the sum of its proper divisors (16193144533248).

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

5641312165632 is a wasteful number, since it uses less digits than its factorization.

5641312165632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1396 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 5641312165632 in words is "five trillion, six hundred forty-one billion, three hundred twelve million, one hundred sixty-five thousand, six hundred thirty-two".