6145904268 has 96 divisors (see below), whose sum is σ = 18224478720. Its totient is φ = 1754585280.

The previous prime is 6145904251. The next prime is 6145904279. The reversal of 6145904268 is 8624095416.

6145904268 is a `hidden beast` number, since 6 + 14 + 590 + 42 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307803 + ... + 1312493.

It is an arithmetic number, because the mean of its divisors is an integer number (189838320).

Almost surely, 2^6145904268 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 6145904268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9112239360).

6145904268 is an abundant number, since it is smaller than the sum of its proper divisors (12078574452).

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

6145904268 is a wasteful number, since it uses less digits than its factorization.

6145904268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6145904268 is about 78395.8179241725. The cubic root of 6145904268 is about 1831.7319909962.

The spelling of 6145904268 in words is "six billion, one hundred forty-five million, nine hundred four thousand, two hundred sixty-eight".