104081653567296 has 280 divisors, whose sum is σ = 312542979021504. Its totient is φ = 34243490949120.

The previous prime is 104081653567231. The next prime is 104081653567327. The reversal of 104081653567296 is 692765356180401.

It is a happy number.

104081653567296 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 8 + 1 + 6 + 535 + 6 + 7 + 2 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 457265356 + ... + 457492916.

It is a 2-persistent number, because it is pandigital, and so is 2⋅104081653567296 = 208163307134592, but 3⋅104081653567296 = 312244960701888 is not.

Almost surely, 2^{104081653567296} is an apocalyptic number.

104081653567296 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 104081653567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156271489510752).

104081653567296 is an abundant number, since it is smaller than the sum of its proper divisors (208461325454208).

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

104081653567296 is a wasteful number, since it uses less digits than its factorization.

104081653567296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228731 (or 228712 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 104081653567296 in words is "one hundred four trillion, eighty-one billion, six hundred fifty-three million, five hundred sixty-seven thousand, two hundred ninety-six".