6452114304 has 64 divisors (see below), whose sum is σ = 17215511040. Its totient is φ = 2141031936.

The previous prime is 6452114303. The next prime is 6452114309. The reversal of 6452114304 is 4034112546.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6452114303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47959 + ... + 123305.

It is an arithmetic number, because the mean of its divisors is an integer number (268992360).

Almost surely, 2^6452114304 is an apocalyptic number.

6452114304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6452114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8607755520).

6452114304 is an abundant number, since it is smaller than the sum of its proper divisors (10763396736).

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

6452114304 is a wasteful number, since it uses less digits than its factorization.

6452114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75587 (or 75575 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6452114304 is about 80325.0540242582. The cubic root of 6452114304 is about 1861.6613575757.

The spelling of 6452114304 in words is "six billion, four hundred fifty-two million, one hundred fourteen thousand, three hundred four".