6145414272 has 160 divisors (see below), whose sum is σ = 18342803820. Its totient is φ = 2042413056.

The previous prime is 6145414243. The next prime is 6145414309. The reversal of 6145414272 is 2724145416.

6145414272 is a `hidden beast` number, since 6 + 1 + 4 + 541 + 42 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4359168576 + 1786245696 = 66024^2 + 42264^2 .

It is a super-2 number, since 2×6145414272² = 75532233149002579968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4737528 + ... + 4738824.

Almost surely, 2^6145414272 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 6145414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171401910).

6145414272 is an abundant number, since it is smaller than the sum of its proper divisors (12197389548).

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

6145414272 is a wasteful number, since it uses less digits than its factorization.

6145414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1759 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 6145414272 is about 78392.6927206867. The cubic root of 6145414272 is about 1831.6833100556.

Adding to 6145414272 its reverse (2724145416), we get a palindrome (8869559688).

The spelling of 6145414272 in words is "six billion, one hundred forty-five million, four hundred fourteen thousand, two hundred seventy-two".