4456873512 has 384 divisors, whose sum is σ = 15586421760. Its totient is φ = 1119191040.

The previous prime is 4456873501. The next prime is 4456873543. The reversal of 4456873512 is 2153786544.

4456873512 is a `hidden beast` number, since 4 + 4 + 5 + 68 + 73 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12625528 + ... + 12625880.

It is an arithmetic number, because the mean of its divisors is an integer number (40589640).

Almost surely, 2^4456873512 is an apocalyptic number.

4456873512 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 4456873512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793210880).

4456873512 is an abundant number, since it is smaller than the sum of its proper divisors (11129548248).

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

4456873512 is a wasteful number, since it uses less digits than its factorization.

4456873512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 4456873512 is about 66759.8195923266. The cubic root of 4456873512 is about 1645.6725922339.

The spelling of 4456873512 in words is "four billion, four hundred fifty-six million, eight hundred seventy-three thousand, five hundred twelve".