10989416448 has 312 divisors, whose sum is σ = 33643516816. Its totient is φ = 3583180800.

The previous prime is 10989416419. The next prime is 10989416453. The reversal of 10989416448 is 84461498901.

It is a happy number.

10989416448 is a `hidden beast` number, since 10 + 98 + 94 + 16 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10989416394 and 10989416403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60714918 + ... + 60715098.

Almost surely, 2^10989416448 is an apocalyptic number.

10989416448 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 10989416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821758408).

10989416448 is an abundant number, since it is smaller than the sum of its proper divisors (22654100368).

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

10989416448 is an frugal number, since it uses more digits than its factorization.

10989416448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10989416448 in words is "ten billion, nine hundred eighty-nine million, four hundred sixteen thousand, four hundred forty-eight".