104658480098928 has 640 divisors, whose sum is σ = 350368432128000. Its totient is φ = 29296634895360.

The previous prime is 104658480098881. The next prime is 104658480098933. The reversal of 104658480098928 is 829890084856401.

104658480098928 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 58 + 480 + 0 + 9 + 8 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13018839133 + ... + 13018847171.

It is an arithmetic number, because the mean of its divisors is an integer number (547450675200).

Almost surely, 2^{104658480098928} is an apocalyptic number.

104658480098928 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 104658480098928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175184216064000).

104658480098928 is an abundant number, since it is smaller than the sum of its proper divisors (245709952029072).

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

104658480098928 is a wasteful number, since it uses less digits than its factorization.

104658480098928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8610 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 104658480098928 in words is "one hundred four trillion, six hundred fifty-eight billion, four hundred eighty million, ninety-eight thousand, nine hundred twenty-eight".