147374828380800 has 1152 divisors, whose sum is σ = 542067255475200. Its totient is φ = 38106420019200.

The previous prime is 147374828380799. The next prime is 147374828380823. The reversal of 147374828380800 is 8083828473741.

It is a happy number.

147374828380800 is a `hidden beast` number, since 1 + 4 + 73 + 7 + 482 + 8 + 3 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 91594050396 + ... + 91594052004.

It is an arithmetic number, because the mean of its divisors is an integer number (470544492600).

Almost surely, 2^{147374828380800} is an apocalyptic number.

147374828380800 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 147374828380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271033627737600).

147374828380800 is an abundant number, since it is smaller than the sum of its proper divisors (394692427094400).

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

147374828380800 is a wasteful number, since it uses less digits than its factorization.

147374828380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 147374828380800 in words is "one hundred forty-seven trillion, three hundred seventy-four billion, eight hundred twenty-eight million, three hundred eighty thousand, eight hundred".