493146008900 has 72 divisors (see below), whose sum is σ = 1126796213760. Its totient is φ = 186818832000.

The previous prime is 493146008863. The next prime is 493146008947. The reversal of 493146008900 is 9800641394.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6404630 + ... + 6481170.

Almost surely, 2^493146008900 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 493146008900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563398106880).

493146008900 is an abundant number, since it is smaller than the sum of its proper divisors (633650204860).

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

493146008900 is a wasteful number, since it uses less digits than its factorization.

493146008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79965 (or 79958 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 493146008900 in words is "four hundred ninety-three billion, one hundred forty-six million, eight thousand, nine hundred".