4251852864 has 896 divisors, whose sum is σ = 16854220800. Its totient is φ = 1021870080.

The previous prime is 4251852859. The next prime is 4251852931. The reversal of 4251852864 is 4682581524.

4251852864 is a `hidden beast` number, since 4 + 2 + 518 + 52 + 86 + 4 = 666.

Its product of digits (614400) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137156529 + ... + 137156559.

Almost surely, 2^4251852864 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 4251852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427110400).

4251852864 is an abundant number, since it is smaller than the sum of its proper divisors (12602367936).

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

4251852864 is a wasteful number, since it uses less digits than its factorization.

4251852864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 4251852864 is about 65206.2333216695. The cubic root of 4251852864 is about 1620.0412609518.

The spelling of 4251852864 in words is "four billion, two hundred fifty-one million, eight hundred fifty-two thousand, eight hundred sixty-four".