7005114000 has 120 divisors (see below), whose sum is σ = 24466591032. Its totient is φ = 1868025600.

The previous prime is 7005113977. The next prime is 7005114001. The reversal of 7005114000 is 4115007.

It can be written as a sum of positive squares in 4 ways, for example, as 234457344 + 6770656656 = 15312^2 + 82284^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (7005114001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176587 + ... + 212586.

Almost surely, 2^7005114000 is an apocalyptic number.

It is an amenable number.

7005114000 is an abundant number, since it is smaller than the sum of its proper divisors (17461477032).

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

7005114000 is a wasteful number, since it uses less digits than its factorization.

7005114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389202 (or 389183 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 7005114000 is about 83696.5590690561. The cubic root of 7005114000 is about 1913.3969136632.

Adding to 7005114000 its reverse (4115007), we get a palindrome (7009229007).

The spelling of 7005114000 in words is "seven billion, five million, one hundred fourteen thousand".