147414626304 has 208 divisors, whose sum is σ = 443587864320. Its totient is φ = 43129569280.

The previous prime is 147414626263. The next prime is 147414626309. The reversal of 147414626304 is 403626414741.

It is not an unprimeable number, because it can be changed into a prime (147414626309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3901069 + ... + 3938675.

Almost surely, 2^147414626304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147414626304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221793932160).

147414626304 is an abundant number, since it is smaller than the sum of its proper divisors (296173238016).

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

147414626304 is a wasteful number, since it uses less digits than its factorization.

147414626304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37674 (or 37652 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 147414626304 in words is "one hundred forty-seven billion, four hundred fourteen million, six hundred twenty-six thousand, three hundred four".