147481985584800 has 864 divisors, whose sum is σ = 548853158649600. Its totient is φ = 38219938283520.

The previous prime is 147481985584697. The next prime is 147481985584819. The reversal of 147481985584800 is 8485589184741.

147481985584800 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 8 + 1 + 98 + 5 + 58 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29836531129 + ... + 29836536071.

It is an arithmetic number, because the mean of its divisors is an integer number (635246711400).

Almost surely, 2^{147481985584800} is an apocalyptic number.

147481985584800 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 147481985584800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274426579324800).

147481985584800 is an abundant number, since it is smaller than the sum of its proper divisors (401371173064800).

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

147481985584800 is a wasteful number, since it uses less digits than its factorization.

147481985584800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 72.

The spelling of 147481985584800 in words is "one hundred forty-seven trillion, four hundred eighty-one billion, nine hundred eighty-five million, five hundred eighty-four thousand, eight hundred".