146350488960 has 320 divisors, whose sum is σ = 562849998480. Its totient is φ = 36024569856.

The previous prime is 146350488959. The next prime is 146350488967. The reversal of 146350488960 is 69884053641.

146350488960 is a `hidden beast` number, since 1 + 46 + 3 + 504 + 8 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 146350488897 and 146350488906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146350488967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 565339 + ... + 782501.

Almost surely, 2^146350488960 is an apocalyptic number.

146350488960 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 146350488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281424999240).

146350488960 is an abundant number, since it is smaller than the sum of its proper divisors (416499509520).

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

146350488960 is a wasteful number, since it uses less digits than its factorization.

146350488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217207 (or 217186 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 146350488960 in words is "one hundred forty-six billion, three hundred fifty million, four hundred eighty-eight thousand, nine hundred sixty".