5446606716096 has 448 divisors, whose sum is σ = 18112727808000. Its totient is φ = 1435327229952.

The previous prime is 5446606716073. The next prime is 5446606716121. The reversal of 5446606716096 is 6906176066445.

It is a happy number.

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

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, 2045288461 + ... + 2045291123.

It is an arithmetic number, because the mean of its divisors is an integer number (40430196000).

Almost surely, 2^{5446606716096} is an apocalyptic number.

5446606716096 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 5446606716096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056363904000).

5446606716096 is an abundant number, since it is smaller than the sum of its proper divisors (12666121091904).

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

5446606716096 is a wasteful number, since it uses less digits than its factorization.

5446606716096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 5446606716096 in words is "five trillion, four hundred forty-six billion, six hundred six million, seven hundred sixteen thousand, ninety-six".