4618864531008 has 448 divisors, whose sum is σ = 16739743121920. Its totient is φ = 1216149479424.

The previous prime is 4618864531003. The next prime is 4618864531027. The reversal of 4618864531008 is 8001354688164.

4618864531008 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 86 + 453 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4618864531003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 96369066 + ... + 96416982.

It is an arithmetic number, because the mean of its divisors is an integer number (37365498040).

Almost surely, 2^{4618864531008} is an apocalyptic number.

4618864531008 is a gapful number since it is divisible by the number (48) 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 4618864531008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8369871560960).

4618864531008 is an abundant number, since it is smaller than the sum of its proper divisors (12120878590912).

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

4618864531008 is a wasteful number, since it uses less digits than its factorization.

4618864531008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48571 (or 48555 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 4618864531008 in words is "four trillion, six hundred eighteen billion, eight hundred sixty-four million, five hundred thirty-one thousand, eight".