104884889847840 has 384 divisors, whose sum is σ = 383946780672000. Its totient is φ = 26691163868160.

The previous prime is 104884889847833. The next prime is 104884889847841. The reversal of 104884889847840 is 48748988488401.

104884889847840 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 8 + 488 + 98 + 4 + 7 + 8 + 40 = 666.

It is a super-2 number, since 2×104884889847840² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104884889847840.

It is not an unprimeable number, because it can be changed into a prime (104884889847841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41599561 + ... + 44048759.

It is an arithmetic number, because the mean of its divisors is an integer number (999861408000).

Almost surely, 2^{104884889847840} is an apocalyptic number.

104884889847840 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 104884889847840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191973390336000).

104884889847840 is an abundant number, since it is smaller than the sum of its proper divisors (279061890824160).

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

104884889847840 is a wasteful number, since it uses less digits than its factorization.

104884889847840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449677 (or 2449663 counting only the distinct ones).

The product of its (nonzero) digits is 4227858432, while the sum is 81.

The spelling of 104884889847840 in words is "one hundred four trillion, eight hundred eighty-four billion, eight hundred eighty-nine million, eight hundred forty-seven thousand, eight hundred forty".