104329782648 has 960 divisors, whose sum is σ = 394993368000. Its totient is φ = 25168485888.

The previous prime is 104329782643. The next prime is 104329782703. The reversal of 104329782648 is 846287923401.

104329782648 is a `hidden beast` number, since 1 + 0 + 432 + 97 + 82 + 6 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 104329782594 and 104329782603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104329782643) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3597578698 + ... + 3597578726.

It is an arithmetic number, because the mean of its divisors is an integer number (411451425).

Almost surely, 2^104329782648 is an apocalyptic number.

104329782648 is a gapful number since it is divisible by the number (18) 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 104329782648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197496684000).

104329782648 is an abundant number, since it is smaller than the sum of its proper divisors (290663585352).

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

104329782648 is a wasteful number, since it uses less digits than its factorization.

104329782648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 104329782648 in words is "one hundred four billion, three hundred twenty-nine million, seven hundred eighty-two thousand, six hundred forty-eight".