146800563360 has 288 divisors, whose sum is σ = 532414959552. Its totient is φ = 33714524160.

The previous prime is 146800563353. The next prime is 146800563407. The reversal of 146800563360 is 63365008641.

146800563360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1867572 + ... + 1944588.

It is an arithmetic number, because the mean of its divisors is an integer number (1848663054).

Almost surely, 2^146800563360 is an apocalyptic number.

146800563360 is a gapful number since it is divisible by the number (10) 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 146800563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266207479776).

146800563360 is an abundant number, since it is smaller than the sum of its proper divisors (385614396192).

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

146800563360 is a wasteful number, since it uses less digits than its factorization.

146800563360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77084 (or 77057 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 146800563360 in words is "one hundred forty-six billion, eight hundred million, five hundred sixty-three thousand, three hundred sixty".