6145535232 has 576 divisors, whose sum is σ = 20721254400. Its totient is φ = 1788272640.

The previous prime is 6145535191. The next prime is 6145535233. The reversal of 6145535232 is 2325355416.

6145535232 is a `hidden beast` number, since 61 + 45 + 535 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (6145535233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142919403 + ... + 142919445.

It is an arithmetic number, because the mean of its divisors is an integer number (35974400).

Almost surely, 2^6145535232 is an apocalyptic number.

6145535232 is a gapful number since it is divisible by the number (62) 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 6145535232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360627200).

6145535232 is an abundant number, since it is smaller than the sum of its proper divisors (14575719168).

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

6145535232 is a wasteful number, since it uses less digits than its factorization.

6145535232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 6145535232 is about 78393.4642173695. The cubic root of 6145535232 is about 1831.6953276322.

The spelling of 6145535232 in words is "six billion, one hundred forty-five million, five hundred thirty-five thousand, two hundred thirty-two".