46445454464 has 64 divisors (see below), whose sum is σ = 94764479040. Its totient is φ = 22662398976.

The previous prime is 46445454443. The next prime is 46445454467.

46445454464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (46445454467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7520882 + ... + 7527054.

It is an arithmetic number, because the mean of its divisors is an integer number (1480694985).

Almost surely, 2^46445454464 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 46445454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47382239520).

46445454464 is an abundant number, since it is smaller than the sum of its proper divisors (48319024576).

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

46445454464 is a wasteful number, since it uses less digits than its factorization.

46445454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7597 (or 7585 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 46445454464 in words is "forty-six billion, four hundred forty-five million, four hundred fifty-four thousand, four hundred sixty-four".