104228988624 has 320 divisors, whose sum is σ = 318901017600. Its totient is φ = 32536401408.

The previous prime is 104228988613. The next prime is 104228988629. The reversal of 104228988624 is 426889822401.

104228988624 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 8 + 9 + 8 + 8 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104228988629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87808159 + ... + 87809345.

It is an arithmetic number, because the mean of its divisors is an integer number (996565680).

Almost surely, 2^104228988624 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 104228988624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159450508800).

104228988624 is an abundant number, since it is smaller than the sum of its proper divisors (214672028976).

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

104228988624 is a wasteful number, since it uses less digits than its factorization.

104228988624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 104228988624 in words is "one hundred four billion, two hundred twenty-eight million, nine hundred eighty-eight thousand, six hundred twenty-four".