4468906487808 has 1664 divisors, whose sum is σ = 16815009024000. Its totient is φ = 1143899947008.

The previous prime is 4468906487777. The next prime is 4468906487887. The reversal of 4468906487808 is 8087846098644.

4468906487808 is a `hidden beast` number, since 4 + 4 + 68 + 9 + 0 + 6 + 487 + 80 + 8 = 666.

It is a super-2 number, since 2×4468906487808² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29992660918 + ... + 29992661066.

Almost surely, 2^{4468906487808} is an apocalyptic number.

4468906487808 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 4468906487808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407504512000).

4468906487808 is an abundant number, since it is smaller than the sum of its proper divisors (12346102536192).

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

4468906487808 is a wasteful number, since it uses less digits than its factorization.

4468906487808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 4468906487808 in words is "four trillion, four hundred sixty-eight billion, nine hundred six million, four hundred eighty-seven thousand, eight hundred eight".