104960448000 has 960 divisors, whose sum is σ = 416156989248. Its totient is φ = 26276659200.

The previous prime is 104960447981. The next prime is 104960448001. The reversal of 104960448000 is 844069401.

It is a happy number.

104960448000 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 604 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×104960448000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104960448001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264383802 + ... + 264384198.

Almost surely, 2^104960448000 is an apocalyptic number.

104960448000 is a gapful number since it is divisible by the number (10) 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 104960448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208078494624).

104960448000 is an abundant number, since it is smaller than the sum of its proper divisors (311196541248).

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

104960448000 is an frugal number, since it uses more digits than its factorization.

104960448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 104960448000 in words is "one hundred four billion, nine hundred sixty million, four hundred forty-eight thousand".