10944567648 has 72 divisors (see below), whose sum is σ = 35569851408. Its totient is φ = 3127018752.

The previous prime is 10944567631. The next prime is 10944567659. The reversal of 10944567648 is 84676544901.

10944567648 is a `hidden beast` number, since 10 + 9 + 4 + 4 + 567 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10944567648² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10944567594 and 10944567603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2712411 + ... + 2716442.

It is an arithmetic number, because the mean of its divisors is an integer number (494025714).

Almost surely, 2^10944567648 is an apocalyptic number.

10944567648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10944567648 is an abundant number, since it is smaller than the sum of its proper divisors (24625283760).

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

10944567648 is a wasteful number, since it uses less digits than its factorization.

10944567648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428876 (or 5428865 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10944567648 in words is "ten billion, nine hundred forty-four million, five hundred sixty-seven thousand, six hundred forty-eight".