104474694772224 has 640 divisors, whose sum is σ = 357289215360000. Its totient is φ = 29524454277120.

The previous prime is 104474694772183. The next prime is 104474694772243. The reversal of 104474694772224 is 422277496474401.

104474694772224 is a `hidden beast` number, since 1 + 0 + 4 + 47 + 469 + 47 + 72 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29858442027 + ... + 29858445525.

It is an arithmetic number, because the mean of its divisors is an integer number (558264399000).

Almost surely, 2^{104474694772224} is an apocalyptic number.

104474694772224 is a gapful number since it is divisible by the number (14) 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 104474694772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178644607680000).

104474694772224 is an abundant number, since it is smaller than the sum of its proper divisors (252814520587776).

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

104474694772224 is an equidigital number, since it uses as much as digits as its factorization.

104474694772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 104474694772224 in words is "one hundred four trillion, four hundred seventy-four billion, six hundred ninety-four million, seven hundred seventy-two thousand, two hundred twenty-four".