4511214864 has 160 divisors (see below), whose sum is σ = 14007436800. Its totient is φ = 1381847040.

The previous prime is 4511214847. The next prime is 4511214901. The reversal of 4511214864 is 4684121154.

4511214864 is a `hidden beast` number, since 4 + 51 + 121 + 486 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340544 + ... + 1343904.

It is an arithmetic number, because the mean of its divisors is an integer number (87546480).

Almost surely, 2^4511214864 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 4511214864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003718400).

4511214864 is an abundant number, since it is smaller than the sum of its proper divisors (9496221936).

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

4511214864 is a wasteful number, since it uses less digits than its factorization.

4511214864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3618 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 4511214864 is about 67165.5779696713. The cubic root of 4511214864 is about 1652.3339927824. Note that the first 3 decimals are identical.

The spelling of 4511214864 in words is "four billion, five hundred eleven million, two hundred fourteen thousand, eight hundred sixty-four".