8045466624 has 132 divisors (see below), whose sum is σ = 25018491316. Its totient is φ = 2475491328.

The previous prime is 8045466617. The next prime is 8045466643. The reversal of 8045466624 is 4266645408.

It can be written as a sum of positive squares in 2 ways, for example, as 1511654400 + 6533812224 = 38880^2 + 80832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8045466624.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 86232 + ... + 153384.

Almost surely, 2^8045466624 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 8045466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509245658).

8045466624 is an abundant number, since it is smaller than the sum of its proper divisors (16973024692).

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

8045466624 is a wasteful number, since it uses less digits than its factorization.

8045466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67192 (or 67171 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 8045466624 is about 89696.5251500859. The cubic root of 8045466624 is about 2003.7817300851.

The spelling of 8045466624 in words is "eight billion, forty-five million, four hundred sixty-six thousand, six hundred twenty-four".