104574328387200 has 4608 divisors, whose sum is σ = 482371241264640. Its totient is φ = 21831603978240.

The previous prime is 104574328387153. The next prime is 104574328387211. The reversal of 104574328387200 is 2783823475401.

It is a happy number.

104574328387200 is a `hidden beast` number, since 1 + 0 + 4 + 57 + 4 + 3 + 2 + 8 + 387 + 200 = 666.

It is a super-3 number, since 3×104574328387200³ (a number of 43 digits) contains 333 as substring.

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 575 ways as a sum of consecutive naturals, for example, 763316265532 + ... + 763316265668.

It is an arithmetic number, because the mean of its divisors is an integer number (104681258955).

Almost surely, 2^{104574328387200} is an apocalyptic number.

104574328387200 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 104574328387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241185620632320).

104574328387200 is an abundant number, since it is smaller than the sum of its proper divisors (377796912877440).

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

104574328387200 is a wasteful number, since it uses less digits than its factorization.

104574328387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 104574328387200 in words is "one hundred four trillion, five hundred seventy-four billion, three hundred twenty-eight million, three hundred eighty-seven thousand, two hundred".