104888457216 has 576 divisors, whose sum is σ = 336453717600. Its totient is φ = 31340888064.

The previous prime is 104888457203. The next prime is 104888457227. The reversal of 104888457216 is 612754888401.

104888457216 is a `hidden beast` number, since 1 + 0 + 488 + 84 + 5 + 72 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×104888457216² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962279370 + ... + 962279478.

Almost surely, 2^104888457216 is an apocalyptic number.

104888457216 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 104888457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168226858800).

104888457216 is an abundant number, since it is smaller than the sum of its proper divisors (231565260384).

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

104888457216 is a wasteful number, since it uses less digits than its factorization.

104888457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 104888457216 in words is "one hundred four billion, eight hundred eighty-eight million, four hundred fifty-seven thousand, two hundred sixteen".