6145518120 has 384 divisors, whose sum is σ = 22787205120. Its totient is φ = 1296345600.

The previous prime is 6145518091. The next prime is 6145518131. The reversal of 6145518120 is 218155416.

It is a super-4 number, since 4×6145518120⁴ (a number of 40 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18566355 + ... + 18566685.

It is an arithmetic number, because the mean of its divisors is an integer number (59341680).

Almost surely, 2^6145518120 is an apocalyptic number.

6145518120 is a gapful number since it is divisible by the number (60) 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 6145518120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393602560).

6145518120 is an abundant number, since it is smaller than the sum of its proper divisors (16641687000).

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

6145518120 is a wasteful number, since it uses less digits than its factorization.

6145518120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 6145518120 is about 78393.3550755420. The cubic root of 6145518120 is about 1831.6936275362.

The spelling of 6145518120 in words is "six billion, one hundred forty-five million, five hundred eighteen thousand, one hundred twenty".