104837368761216 has 1152 divisors, whose sum is σ = 390209767234560. Its totient is φ = 26761662627840.

The previous prime is 104837368761163. The next prime is 104837368761241. The reversal of 104837368761216 is 612167863738401.

104837368761216 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 3 + 7 + 3 + 6 + 8 + 7 + 612 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3821007850 + ... + 3821035286.

It is an arithmetic number, because the mean of its divisors is an integer number (338723756280).

Almost surely, 2^{104837368761216} is an apocalyptic number.

104837368761216 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 104837368761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195104883617280).

104837368761216 is an abundant number, since it is smaller than the sum of its proper divisors (285372398473344).

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

104837368761216 is a wasteful number, since it uses less digits than its factorization.

104837368761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27652 (or 27630 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 104837368761216 in words is "one hundred four trillion, eight hundred thirty-seven billion, three hundred sixty-eight million, seven hundred sixty-one thousand, two hundred sixteen".