104469248520 has 1152 divisors, whose sum is σ = 459808876800. Its totient is φ = 20326699008.

The previous prime is 104469248447. The next prime is 104469248531. The reversal of 104469248520 is 25842964401.

It is a happy number.

104469248520 is a `hidden beast` number, since 1 + 0 + 44 + 69 + 24 + 8 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 152956099 + ... + 152956781.

It is an arithmetic number, because the mean of its divisors is an integer number (399139650).

Almost surely, 2^104469248520 is an apocalyptic number.

104469248520 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 104469248520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229904438400).

104469248520 is an abundant number, since it is smaller than the sum of its proper divisors (355339628280).

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

104469248520 is a wasteful number, since it uses less digits than its factorization.

104469248520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 765 counting only the distinct ones).

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

The spelling of 104469248520 in words is "one hundred four billion, four hundred sixty-nine million, two hundred forty-eight thousand, five hundred twenty".