6445153152 has 336 divisors, whose sum is σ = 20535721200. Its totient is φ = 2013548544.

The previous prime is 6445153123. The next prime is 6445153157. The reversal of 6445153152 is 2513515446.

6445153152 is a `hidden beast` number, since 6 + 4 + 451 + 53 + 152 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6445153157) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 26967049 + ... + 26967287.

Almost surely, 2^6445153152 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 6445153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10267860600).

6445153152 is an abundant number, since it is smaller than the sum of its proper divisors (14090568048).

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

6445153152 is an equidigital number, since it uses as much as digits as its factorization.

6445153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 261 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 6445153152 is about 80281.7111925250. The cubic root of 6445153152 is about 1860.9916044558.

Adding to 6445153152 its reverse (2513515446), we get a palindrome (8958668598).

The spelling of 6445153152 in words is "six billion, four hundred forty-five million, one hundred fifty-three thousand, one hundred fifty-two".