104690463488208 has 480 divisors, whose sum is σ = 341693595210240. Its totient is φ = 29653662044160.

The previous prime is 104690463488183. The next prime is 104690463488249. The reversal of 104690463488208 is 802884364096401.

104690463488208 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 90 + 4 + 63 + 488 + 2 + 0 + 8 = 666.

It is a super-3 number, since 3×104690463488208³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388187266 + ... + 388456862.

It is an arithmetic number, because the mean of its divisors is an integer number (711861656688).

Almost surely, 2^{104690463488208} is an apocalyptic number.

104690463488208 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 104690463488208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170846797605120).

104690463488208 is an abundant number, since it is smaller than the sum of its proper divisors (237003131722032).

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

104690463488208 is a wasteful number, since it uses less digits than its factorization.

104690463488208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269987 (or 269978 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 104690463488208 in words is "one hundred four trillion, six hundred ninety billion, four hundred sixty-three million, four hundred eighty-eight thousand, two hundred eight".