4546356000 has 192 divisors, whose sum is σ = 14968437120. Its totient is φ = 1206297600.

The previous prime is 4546355981. The next prime is 4546356011. The reversal of 4546356000 is 6536454.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2723166 + ... + 2724834.

It is an arithmetic number, because the mean of its divisors is an integer number (77960610).

Almost surely, 2^4546356000 is an apocalyptic number.

4546356000 is a gapful number since it is divisible by the number (40) 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 4546356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7484218560).

4546356000 is an abundant number, since it is smaller than the sum of its proper divisors (10422081120).

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

4546356000 is a wasteful number, since it uses less digits than its factorization.

4546356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 4546356000 is about 67426.6712807328. The cubic root of 4546356000 is about 1656.6133110669.

The spelling of 4546356000 in words is "four billion, five hundred forty-six million, three hundred fifty-six thousand".