4646218752 has 176 divisors, whose sum is σ = 15726200320. Its totient is φ = 1327435776.

The previous prime is 4646218739. The next prime is 4646218831. The reversal of 4646218752 is 2578126464.

4646218752 is a `hidden beast` number, since 4 + 6 + 462 + 187 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4646218698 and 4646218707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181533 + ... + 205539.

Almost surely, 2^4646218752 is an apocalyptic number.

4646218752 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 4646218752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863100160).

4646218752 is an abundant number, since it is smaller than the sum of its proper divisors (11079981568).

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

4646218752 is a wasteful number, since it uses less digits than its factorization.

4646218752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24043 (or 24019 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 4646218752 is about 68163.1773907291. The cubic root of 4646218752 is about 1668.6549883540.

The spelling of 4646218752 in words is "four billion, six hundred forty-six million, two hundred eighteen thousand, seven hundred fifty-two".