4590138212352 has 2520 divisors, whose sum is σ = 18813697846272. Its totient is φ = 1103619686400.

The previous prime is 4590138212339. The next prime is 4590138212381. The reversal of 4590138212352 is 2532128310954.

4590138212352 is a `hidden beast` number, since 4 + 59 + 0 + 1 + 38 + 212 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4590138212298 and 4590138212307.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 148068974577 + ... + 148068974607.

Almost surely, 2^{4590138212352} is an apocalyptic number.

4590138212352 is a gapful number since it is divisible by the number (42) 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 4590138212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9406848923136).

4590138212352 is an abundant number, since it is smaller than the sum of its proper divisors (14223559633920).

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

4590138212352 is an equidigital number, since it uses as much as digits as its factorization.

4590138212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4590138212352 in words is "four trillion, five hundred ninety billion, one hundred thirty-eight million, two hundred twelve thousand, three hundred fifty-two".