4656356364 has 216 divisors, whose sum is σ = 12780052992. Its totient is φ = 1317624000.

The previous prime is 4656356311. The next prime is 4656356381. The reversal of 4656356364 is 4636536564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65582449 + ... + 65582519.

It is an arithmetic number, because the mean of its divisors is an integer number (59166912).

Almost surely, 2^4656356364 is an apocalyptic number.

4656356364 is a gapful number since it is divisible by the number (44) 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 4656356364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390026496).

4656356364 is an abundant number, since it is smaller than the sum of its proper divisors (8123696628).

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

4656356364 is a wasteful number, since it uses less digits than its factorization.

4656356364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 165 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The square root of 4656356364 is about 68237.4996904195. The cubic root of 4656356364 is about 1669.8677227988.

The spelling of 4656356364 in words is "four billion, six hundred fifty-six million, three hundred fifty-six thousand, three hundred sixty-four".