146791968960 has 896 divisors, whose sum is σ = 612838195200. Its totient is φ = 28918923264.

The previous prime is 146791968929. The next prime is 146791968997. The reversal of 146791968960 is 69869197641.

It is a super-3 number, since 3×146791968960³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146791968891 and 146791968900.

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 127 ways as a sum of consecutive naturals, for example, 86398191 + ... + 86399889.

It is an arithmetic number, because the mean of its divisors is an integer number (683971200).

Almost surely, 2^146791968960 is an apocalyptic number.

146791968960 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 146791968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306419097600).

146791968960 is an abundant number, since it is smaller than the sum of its proper divisors (466046226240).

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

146791968960 is a wasteful number, since it uses less digits than its factorization.

146791968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 146791968960 in words is "one hundred forty-six billion, seven hundred ninety-one million, nine hundred sixty-eight thousand, nine hundred sixty".