4656212000 has 384 divisors, whose sum is σ = 13450364928. Its totient is φ = 1567104000.

The previous prime is 4656211999. The next prime is 4656212017. The reversal of 4656212000 is 2126564.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43515947 + ... + 43516053.

It is an arithmetic number, because the mean of its divisors is an integer number (35026992).

Almost surely, 2^4656212000 is an apocalyptic number.

4656212000 is a gapful number since it is divisible by the number (40) 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 4656212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725182464).

4656212000 is an abundant number, since it is smaller than the sum of its proper divisors (8794152928).

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

4656212000 is a wasteful number, since it uses less digits than its factorization.

4656212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4656212000 is about 68236.4418767567. The cubic root of 4656212000 is about 1669.8504652942.

Adding to 4656212000 its reverse (2126564), we get a palindrome (4658338564).

The spelling of 4656212000 in words is "four billion, six hundred fifty-six million, two hundred twelve thousand".