10954446048 has 384 divisors, whose sum is σ = 41398963200. Its totient is φ = 2736654336.

The previous prime is 10954446047. The next prime is 10954446059. The reversal of 10954446048 is 84064445901.

10954446048 is a `hidden beast` number, since 1 + 0 + 9 + 544 + 4 + 60 + 48 = 666.

10954446048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10954445994 and 10954446012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10954446047) 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 63 ways as a sum of consecutive naturals, for example, 1490190 + ... + 1497522.

It is an arithmetic number, because the mean of its divisors is an integer number (107809800).

Almost surely, 2^10954446048 is an apocalyptic number.

10954446048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10954446048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699481600).

10954446048 is an abundant number, since it is smaller than the sum of its proper divisors (30444517152).

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

10954446048 is a wasteful number, since it uses less digits than its factorization.

10954446048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10954446048 in words is "ten billion, nine hundred fifty-four million, four hundred forty-six thousand, forty-eight".