6414465132 has 144 divisors (see below), whose sum is σ = 17690400000. Its totient is φ = 1953065088.

The previous prime is 6414465131. The next prime is 6414465149. The reversal of 6414465132 is 2315644146.

6414465132 is a `hidden beast` number, since 64 + 1 + 4 + 465 + 132 = 666.

It is a super-2 number, since 2×6414465132² = 82290725859287554848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6414465131) 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 47 ways as a sum of consecutive naturals, for example, 2137369 + ... + 2140367.

It is an arithmetic number, because the mean of its divisors is an integer number (122850000).

Almost surely, 2^6414465132 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 6414465132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200000).

6414465132 is an abundant number, since it is smaller than the sum of its proper divisors (11275934868).

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

6414465132 is a wasteful number, since it uses less digits than its factorization.

6414465132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3135 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 6414465132 is about 80090.3560486529. The cubic root of 6414465132 is about 1858.0332558395.

The spelling of 6414465132 in words is "six billion, four hundred fourteen million, four hundred sixty-five thousand, one hundred thirty-two".