4618083456 has 640 divisors, whose sum is σ = 17594755200. Its totient is φ = 1170505728.

The previous prime is 4618083443. The next prime is 4618083469. The reversal of 4618083456 is 6543808164.

4618083456 is a `hidden beast` number, since 46 + 1 + 80 + 83 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (4618083443) and next prime (4618083469).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23441950 + ... + 23442146.

It is an arithmetic number, because the mean of its divisors is an integer number (27491805).

Almost surely, 2^4618083456 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 4618083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797377600).

4618083456 is an abundant number, since it is smaller than the sum of its proper divisors (12976671744).

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

4618083456 is a wasteful number, since it uses less digits than its factorization.

4618083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4618083456 is about 67956.4820749279. The cubic root of 4618083456 is about 1665.2799723985.

The spelling of 4618083456 in words is "four billion, six hundred eighteen million, eighty-three thousand, four hundred fifty-six".