146933311080960 has 320 divisors, whose sum is σ = 522824046940800. Its totient is φ = 39114298884096.

The previous prime is 146933311080883. The next prime is 146933311080971. The reversal of 146933311080960 is 69080113339641.

146933311080960 is a `hidden beast` number, since 1 + 4 + 69 + 333 + 110 + 80 + 9 + 60 = 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 = 146933311080897 and 146933311080906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38040151 + ... + 41724329.

It is an arithmetic number, because the mean of its divisors is an integer number (1633825146690).

Almost surely, 2^{146933311080960} is an apocalyptic number.

146933311080960 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 146933311080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261412023470400).

146933311080960 is an abundant number, since it is smaller than the sum of its proper divisors (375890735859840).

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

146933311080960 is an equidigital number, since it uses as much as digits as its factorization.

146933311080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684788 (or 3684766 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 146933311080960 in words is "one hundred forty-six trillion, nine hundred thirty-three billion, three hundred eleven million, eighty thousand, nine hundred sixty".