147585381768 has 192 divisors, whose sum is σ = 466525051200. Its totient is φ = 41674176000.

The previous prime is 147585381763. The next prime is 147585381781. The reversal of 147585381768 is 867183585741.

147585381768 is a `hidden beast` number, since 1 + 4 + 7 + 585 + 38 + 17 + 6 + 8 = 666.

147585381768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (147585381763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837538 + ... + 998318.

It is an arithmetic number, because the mean of its divisors is an integer number (2429817975).

Almost surely, 2^147585381768 is an apocalyptic number.

147585381768 is a gapful number since it is divisible by the number (18) 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 147585381768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233262525600).

147585381768 is an abundant number, since it is smaller than the sum of its proper divisors (318939669432).

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

147585381768 is a wasteful number, since it uses less digits than its factorization.

147585381768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160884 (or 160877 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 147585381768 in words is "one hundred forty-seven billion, five hundred eighty-five million, three hundred eighty-one thousand, seven hundred sixty-eight".