4538606624352 has 576 divisors, whose sum is σ = 14185900624896. Its totient is φ = 1370792263680.

The previous prime is 4538606624347. The next prime is 4538606624381. The reversal of 4538606624352 is 2534266068354.

It is a happy number.

4538606624352 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 6 + 0 + 6 + 624 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×4538606624352² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6743843088 + ... + 6743843760.

It is an arithmetic number, because the mean of its divisors is an integer number (24628299696).

Almost surely, 2^{4538606624352} 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 4538606624352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092950312448).

4538606624352 is an abundant number, since it is smaller than the sum of its proper divisors (9647294000544).

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

4538606624352 is a wasteful number, since it uses less digits than its factorization.

4538606624352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 4538606624352 in words is "four trillion, five hundred thirty-eight billion, six hundred six million, six hundred twenty-four thousand, three hundred fifty-two".