108641288448 has 864 divisors, whose sum is σ = 412773863040. Its totient is φ = 28101427200.

The previous prime is 108641288447. The next prime is 108641288449. The reversal of 108641288448 is 844882146801.

108641288448 is a `hidden beast` number, since 1 + 0 + 86 + 41 + 2 + 88 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (108641288447) and next prime (108641288449).

It is a tau number, because it is divible by the number of its divisors (864).

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 = 108641288394 and 108641288403.

It is not an unprimeable number, because it can be changed into a prime (108641288447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450793608 + ... + 450793848.

Almost surely, 2^108641288448 is an apocalyptic number.

108641288448 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 108641288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206386931520).

108641288448 is an abundant number, since it is smaller than the sum of its proper divisors (304132574592).

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

108641288448 is an equidigital number, since it uses as much as digits as its factorization.

108641288448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 108641288448 in words is "one hundred eight billion, six hundred forty-one million, two hundred eighty-eight thousand, four hundred forty-eight".