10644602649984 has 512 divisors, whose sum is σ = 33589105920000. Its totient is φ = 3308932104192.

The previous prime is 10644602649979. The next prime is 10644602650021. The reversal of 10644602649984 is 48994620644601.

10644602649984 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 4 + 60 + 2 + 6 + 499 + 84 = 666.

It is a super-2 number, since 2×10644602649984² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1831169062 + ... + 1831174874.

It is an arithmetic number, because the mean of its divisors is an integer number (65603722500).

Almost surely, 2^{10644602649984} 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 10644602649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16794552960000).

10644602649984 is an abundant number, since it is smaller than the sum of its proper divisors (22944503270016).

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

10644602649984 is a wasteful number, since it uses less digits than its factorization.

10644602649984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 10644602649984 in words is "ten trillion, six hundred forty-four billion, six hundred two million, six hundred forty-nine thousand, nine hundred eighty-four".