6000146496 has 224 divisors, whose sum is σ = 18726912000. Its totient is φ = 1878557184.

The previous prime is 6000146489. The next prime is 6000146497. The reversal of 6000146496 is 6946410006.

6000146496 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 1 + 4 + 649 + 6 = 666.

It is a super-2 number, since 2×6000146496² = 72003515946922156032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6000146496.

It is not an unprimeable number, because it can be changed into a prime (6000146497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4168945 + ... + 4170383.

Almost surely, 2^6000146496 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 6000146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363456000).

6000146496 is an abundant number, since it is smaller than the sum of its proper divisors (12726765504).

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

6000146496 is a wasteful number, since it uses less digits than its factorization.

6000146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6000146496 is about 77460.6125459901. The cubic root of 6000146496 is about 1817.1353816506.

The spelling of 6000146496 in words is "six billion, one hundred forty-six thousand, four hundred ninety-six".