104399628609216 has 224 divisors, whose sum is σ = 287150568192000. Its totient is φ = 33439339560960.

The previous prime is 104399628609149. The next prime is 104399628609217. The reversal of 104399628609216 is 612906826993401.

It is a super-3 number, since 3×104399628609216³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (104399628609217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2677374616 + ... + 2677413608.

Almost surely, 2^{104399628609216} is an apocalyptic number.

104399628609216 is a gapful number since it is divisible by the number (16) 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 104399628609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143575284096000).

104399628609216 is an abundant number, since it is smaller than the sum of its proper divisors (182750939582784).

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

104399628609216 is a wasteful number, since it uses less digits than its factorization.

104399628609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42207 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 66.

The spelling of 104399628609216 in words is "one hundred four trillion, three hundred ninety-nine billion, six hundred twenty-eight million, six hundred nine thousand, two hundred sixteen".