104654433312 has 864 divisors, whose sum is σ = 379463325696. Its totient is φ = 27079557120.

The previous prime is 104654433307. The next prime is 104654433347. The reversal of 104654433312 is 213334456401.

104654433312 is a `hidden beast` number, since 10 + 46 + 544 + 33 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 824050593 + ... + 824050719.

It is an arithmetic number, because the mean of its divisors is an integer number (439193664).

Almost surely, 2^104654433312 is an apocalyptic number.

104654433312 is a gapful number since it is divisible by the number (12) 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 104654433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189731662848).

104654433312 is an abundant number, since it is smaller than the sum of its proper divisors (274808892384).

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

104654433312 is a wasteful number, since it uses less digits than its factorization.

104654433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 104654433312 its reverse (213334456401), we get a palindrome (317988889713).

The spelling of 104654433312 in words is "one hundred four billion, six hundred fifty-four million, four hundred thirty-three thousand, three hundred twelve".