4613982912 has 336 divisors, whose sum is σ = 17103620352. Its totient is φ = 1198126080.

The previous prime is 4613982851. The next prime is 4613982941. The reversal of 4613982912 is 2192893164.

4613982912 is a `hidden beast` number, since 4 + 613 + 9 + 8 + 29 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195578 + ... + 1199430.

It is an arithmetic number, because the mean of its divisors is an integer number (50903632).

Almost surely, 2^4613982912 is an apocalyptic number.

4613982912 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 4613982912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8551810176).

4613982912 is an abundant number, since it is smaller than the sum of its proper divisors (12489637440).

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

4613982912 is a wasteful number, since it uses less digits than its factorization.

4613982912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3876 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4613982912 is about 67926.3050077067. The cubic root of 4613982912 is about 1664.7869413277.

The spelling of 4613982912 in words is "four billion, six hundred thirteen million, nine hundred eighty-two thousand, nine hundred twelve".