4457694967544 has 128 divisors (see below), whose sum is σ = 10893555993600. Its totient is φ = 1659528345600.

The previous prime is 4457694967513. The next prime is 4457694967547.

4457694967544 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4457694967547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115312619 + ... + 115351269.

It is an arithmetic number, because the mean of its divisors is an integer number (85105906200).

Almost surely, 2^{4457694967544} 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 4457694967544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446777996800).

4457694967544 is an abundant number, since it is smaller than the sum of its proper divisors (6435861026056).

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

4457694967544 is a wasteful number, since it uses less digits than its factorization.

4457694967544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48013 (or 48009 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 74.

The spelling of 4457694967544 in words is "four trillion, four hundred fifty-seven billion, six hundred ninety-four million, nine hundred sixty-seven thousand, five hundred forty-four".