104186449646400 has 4032 divisors, whose sum is σ = 425278508433408. Its totient is φ = 22228377600000.

The previous prime is 104186449646381. The next prime is 104186449646417. The reversal of 104186449646400 is 4646944681401.

104186449646400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1031549006350 + ... + 1031549006450.

It is an arithmetic number, because the mean of its divisors is an integer number (105475820544).

Almost surely, 2^{104186449646400} is an apocalyptic number.

104186449646400 is a gapful number since it is divisible by the number (10) 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 104186449646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212639254216704).

104186449646400 is an abundant number, since it is smaller than the sum of its proper divisors (321092058787008).

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

104186449646400 is a wasteful number, since it uses less digits than its factorization.

104186449646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 104186449646400 in words is "one hundred four trillion, one hundred eighty-six billion, four hundred forty-nine million, six hundred forty-six thousand, four hundred".