4664451456 has 384 divisors, whose sum is σ = 16212418560. Its totient is φ = 1259089920.

The previous prime is 4664451443. The next prime is 4664451479. The reversal of 4664451456 is 6541544664.

4664451456 is a `hidden beast` number, since 4 + 66 + 445 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11749050 + ... + 11749446.

It is an arithmetic number, because the mean of its divisors is an integer number (42219840).

Almost surely, 2^4664451456 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 4664451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106209280).

4664451456 is an abundant number, since it is smaller than the sum of its proper divisors (11547967104).

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

4664451456 is a wasteful number, since it uses less digits than its factorization.

4664451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 487 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 4664451456 is about 68296.7894999465. The cubic root of 4664451456 is about 1670.8348528753.

The spelling of 4664451456 in words is "four billion, six hundred sixty-four million, four hundred fifty-one thousand, four hundred fifty-six".