4456838657232 has 480 divisors, whose sum is σ = 14184096326400. Its totient is φ = 1346541428736.

The previous prime is 4456838657231. The next prime is 4456838657251. The reversal of 4456838657232 is 2327568386544.

4456838657232 is a `hidden beast` number, since 4 + 4 + 56 + 8 + 3 + 8 + 6 + 572 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4456838657232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456838657231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622546869 + ... + 622554027.

It is an arithmetic number, because the mean of its divisors is an integer number (29550200680).

Almost surely, 2^{4456838657232} 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 4456838657232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092048163200).

4456838657232 is an abundant number, since it is smaller than the sum of its proper divisors (9727257669168).

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

4456838657232 is a wasteful number, since it uses less digits than its factorization.

4456838657232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417 (or 7399 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 63.

The spelling of 4456838657232 in words is "four trillion, four hundred fifty-six billion, eight hundred thirty-eight million, six hundred fifty-seven thousand, two hundred thirty-two".