2626332563456 has 144 divisors (see below), whose sum is σ = 6128096083200. Its totient is φ = 1122006810624.

The previous prime is 2626332563453. The next prime is 2626332563467. The reversal of 2626332563456 is 6543652336262.

It is a junction number, because it is equal to n+sod(n) for n = 2626332563398 and 2626332563407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2626332563453) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31770305 + ... + 31852863.

It is an arithmetic number, because the mean of its divisors is an integer number (42556222800).

Almost surely, 2^{2626332563456} 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 2626332563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064048041600).

2626332563456 is an abundant number, since it is smaller than the sum of its proper divisors (3501763519744).

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

2626332563456 is an equidigital number, since it uses as much as digits as its factorization.

2626332563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82912 (or 82885 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 53.

The spelling of 2626332563456 in words is "two trillion, six hundred twenty-six billion, three hundred thirty-two million, five hundred sixty-three thousand, four hundred fifty-six".