6452389583136 has 864 divisors, whose sum is σ = 24052754718720. Its totient is φ = 1690113600000.

The previous prime is 6452389583131. The next prime is 6452389583149. The reversal of 6452389583136 is 6313859832546.

It is a happy number.

6452389583136 is a `hidden beast` number, since 6 + 4 + 5 + 2 + 38 + 9 + 583 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6452389583131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224408761 + ... + 224437511.

It is an arithmetic number, because the mean of its divisors is an integer number (27838836480).

Almost surely, 2^{6452389583136} 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 6452389583136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026377359360).

6452389583136 is an abundant number, since it is smaller than the sum of its proper divisors (17600365135584).

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

6452389583136 is a wasteful number, since it uses less digits than its factorization.

6452389583136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28840 (or 28813 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 6452389583136 in words is "six trillion, four hundred fifty-two billion, three hundred eighty-nine million, five hundred eighty-three thousand, one hundred thirty-six".