5452968091648 has 448 divisors, whose sum is σ = 13867284188160. Its totient is φ = 2082550579200.

The previous prime is 5452968091633. The next prime is 5452968091673. The reversal of 5452968091648 is 8461908692545.

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

It is a super-2 number, since 2×5452968091648² (a number of 26 digits) contains 22 as substring.

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, 14017912638 + ... + 14017913026.

Almost surely, 2^{5452968091648} 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 5452968091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933642094080).

5452968091648 is an abundant number, since it is smaller than the sum of its proper divisors (8414316096512).

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

5452968091648 is a wasteful number, since it uses less digits than its factorization.

5452968091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 67.

The spelling of 5452968091648 in words is "five trillion, four hundred fifty-two billion, nine hundred sixty-eight million, ninety-one thousand, six hundred forty-eight".