108884248704 has 576 divisors, whose sum is σ = 408275824320. Its totient is φ = 28274780160.

The previous prime is 108884248673. The next prime is 108884248729. The reversal of 108884248704 is 407842488801.

108884248704 is a `hidden beast` number, since 1 + 0 + 88 + 84 + 2 + 487 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26343022 + ... + 26347154.

It is an arithmetic number, because the mean of its divisors is an integer number (708812195).

Almost surely, 2^108884248704 is an apocalyptic number.

108884248704 is a gapful number since it is divisible by the number (14) 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 108884248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204137912160).

108884248704 is an abundant number, since it is smaller than the sum of its proper divisors (299391575616).

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

108884248704 is an equidigital number, since it uses as much as digits as its factorization.

108884248704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 108884248704 in words is "one hundred eight billion, eight hundred eighty-four million, two hundred forty-eight thousand, seven hundred four".