146382888960 has 1344 divisors, whose sum is σ = 659505659904. Its totient is φ = 30257971200.

The previous prime is 146382888901. The next prime is 146382888961. The reversal of 146382888960 is 69888283641.

146382888960 is a `hidden beast` number, since 1 + 46 + 382 + 88 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (146382888961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766402465 + ... + 766402655.

It is an arithmetic number, because the mean of its divisors is an integer number (490703616).

Almost surely, 2^146382888960 is an apocalyptic number.

146382888960 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 146382888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329752829952).

146382888960 is an abundant number, since it is smaller than the sum of its proper divisors (513122770944).

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

146382888960 is an equidigital number, since it uses as much as digits as its factorization.

146382888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 146382888960 in words is "one hundred forty-six billion, three hundred eighty-two million, eight hundred eighty-eight thousand, nine hundred sixty".