104857584468 has 288 divisors, whose sum is σ = 327366488064. Its totient is φ = 25419405312.

The previous prime is 104857584449. The next prime is 104857584487. The reversal of 104857584468 is 864485758401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104857584449) and next prime (104857584487).

It is a super-2 number, since 2×104857584468² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13566421 + ... + 13574147.

Almost surely, 2^104857584468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104857584468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163683244032).

104857584468 is an abundant number, since it is smaller than the sum of its proper divisors (222508903596).

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

104857584468 is a wasteful number, since it uses less digits than its factorization.

104857584468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 60.

The spelling of 104857584468 in words is "one hundred four billion, eight hundred fifty-seven million, five hundred eighty-four thousand, four hundred sixty-eight".