4464868082004 has 72 divisors (see below), whose sum is σ = 12312637122240. Its totient is φ = 1352943609600.

The previous prime is 4464868081943. The next prime is 4464868082089. The reversal of 4464868082004 is 4002808684644.

4464868082004 is a `hidden beast` number, since 4 + 4 + 6 + 486 + 80 + 82 + 0 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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, 12299452 + ... + 12657260.

It is an arithmetic number, because the mean of its divisors is an integer number (171008848920).

Almost surely, 2^{4464868082004} is an apocalyptic number.

4464868082004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4464868082004 is an abundant number, since it is smaller than the sum of its proper divisors (7847769040236).

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

4464868082004 is a wasteful number, since it uses less digits than its factorization.

4464868082004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389341 (or 389336 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 4464868082004 in words is "four trillion, four hundred sixty-four billion, eight hundred sixty-eight million, eighty-two thousand, four".