104416693248 has 352 divisors, whose sum is σ = 323794132480. Its totient is φ = 29302456320.

The previous prime is 104416693247. The next prime is 104416693289. The reversal of 104416693248 is 842396614401.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 104416693197 and 104416693206.

It is not an unprimeable number, because it can be changed into a prime (104416693247) 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, 541019040 + ... + 541019232.

Almost surely, 2^104416693248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104416693248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161897066240).

104416693248 is an abundant number, since it is smaller than the sum of its proper divisors (219377439232).

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

104416693248 is a wasteful number, since it uses less digits than its factorization.

104416693248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 104416693248 in words is "one hundred four billion, four hundred sixteen million, six hundred ninety-three thousand, two hundred forty-eight".