104774426947584 has 832 divisors, whose sum is σ = 331490068807680. Its totient is φ = 32589238763520.

The previous prime is 104774426947577. The next prime is 104774426947637. The reversal of 104774426947584 is 485749624477401.

104774426947584 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 7 + 442 + 69 + 47 + 5 + 84 = 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 63 ways as a sum of consecutive naturals, for example, 163454643904 + ... + 163454644544.

Almost surely, 2^{104774426947584} 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 104774426947584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165745034403840).

104774426947584 is an abundant number, since it is smaller than the sum of its proper divisors (226715641860096).

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

104774426947584 is a wasteful number, since it uses less digits than its factorization.

104774426947584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 72.

The spelling of 104774426947584 in words is "one hundred four trillion, seven hundred seventy-four billion, four hundred twenty-six million, nine hundred forty-seven thousand, five hundred eighty-four".