5946146967936 has 256 divisors, whose sum is σ = 18326627688960. Its totient is φ = 1672957034496.

The previous prime is 5946146967919. The next prime is 5946146967977. The reversal of 5946146967936 is 6397696416495.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935955736 + ... + 935962088.

It is an arithmetic number, because the mean of its divisors is an integer number (71588389410).

Almost surely, 2^{5946146967936} is an apocalyptic number.

5946146967936 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 5946146967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9163313844480).

5946146967936 is an abundant number, since it is smaller than the sum of its proper divisors (12380480721024).

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

5946146967936 is a wasteful number, since it uses less digits than its factorization.

5946146967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11641 (or 11629 counting only the distinct ones).

The product of its digits is 1587237120, while the sum is 75.

The spelling of 5946146967936 in words is "five trillion, nine hundred forty-six billion, one hundred forty-six million, nine hundred sixty-seven thousand, nine hundred thirty-six".