104529464008704 has 2016 divisors, whose sum is σ = 387249799397760. Its totient is φ = 27532587958272.

The previous prime is 104529464008679. The next prime is 104529464008741. The reversal of 104529464008704 is 407800464925401.

104529464008704 is a `hidden beast` number, since 1 + 0 + 4 + 529 + 4 + 6 + 40 + 0 + 8 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

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, 377362685814 + ... + 377362686090.

Almost surely, 2^{104529464008704} is an apocalyptic number.

104529464008704 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 104529464008704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193624899698880).

104529464008704 is an abundant number, since it is smaller than the sum of its proper divisors (282720335389056).

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

104529464008704 is an frugal number, since it uses more digits than its factorization.

104529464008704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 104529464008704 in words is "one hundred four trillion, five hundred twenty-nine billion, four hundred sixty-four million, eight thousand, seven hundred four".