4607114332320 has 144 divisors (see below), whose sum is σ = 16304065858080. Its totient is φ = 1228563811584.

The previous prime is 4607114332313. The next prime is 4607114332321. The reversal of 4607114332320 is 232334117064.

4607114332320 is a `hidden beast` number, since 4 + 607 + 1 + 1 + 4 + 3 + 3 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4607114332321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59208990 + ... + 59286749.

It is an arithmetic number, because the mean of its divisors is an integer number (113222679570).

Almost surely, 2^{4607114332320} is an apocalyptic number.

4607114332320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4607114332320 is an abundant number, since it is smaller than the sum of its proper divisors (11696951525760).

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

4607114332320 is a wasteful number, since it uses less digits than its factorization.

4607114332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118495769 (or 118495749 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 4607114332320 its reverse (232334117064), we get a palindrome (4839448449384).

The spelling of 4607114332320 in words is "four trillion, six hundred seven billion, one hundred fourteen million, three hundred thirty-two thousand, three hundred twenty".