644311553300352 has 384 divisors, whose sum is σ = 2238881380968960. Its totient is φ = 180615634348032.

The previous prime is 644311553300339. The next prime is 644311553300357. The reversal of 644311553300352 is 253003355113446.

644311553300352 is a `hidden beast` number, since 6 + 4 + 4 + 3 + 11 + 553 + 30 + 0 + 3 + 52 = 666.

644311553300352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 644311553300298 and 644311553300307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644311553300357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16377868 + ... + 39457035.

It is an arithmetic number, because the mean of its divisors is an integer number (5830420262940).

Almost surely, 2^{644311553300352} is an apocalyptic number.

It is an amenable number.

644311553300352 is an abundant number, since it is smaller than the sum of its proper divisors (1594569827668608).

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

644311553300352 is an equidigital number, since it uses as much as digits as its factorization.

644311553300352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55834992 (or 55834968 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 644311553300352 in words is "six hundred forty-four trillion, three hundred eleven billion, five hundred fifty-three million, three hundred thousand, three hundred fifty-two".