147104584704 has 880 divisors, whose sum is σ = 566105481216. Its totient is φ = 36926668800.

The previous prime is 147104584699. The next prime is 147104584747. The reversal of 147104584704 is 407485401741.

147104584704 is a `hidden beast` number, since 147 + 10 + 458 + 47 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 147104584704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197986957 + ... + 197987699.

Almost surely, 2^147104584704 is an apocalyptic number.

147104584704 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 147104584704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283052740608).

147104584704 is an abundant number, since it is smaller than the sum of its proper divisors (419000896512).

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

147104584704 is a wasteful number, since it uses less digits than its factorization.

147104584704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 147104584704 in words is "one hundred forty-seven billion, one hundred four million, five hundred eighty-four thousand, seven hundred four".