146115709344 has 288 divisors, whose sum is σ = 489316464000. Its totient is φ = 40891361280.

The previous prime is 146115709309. The next prime is 146115709351. The reversal of 146115709344 is 443907511641.

146115709344 is a `hidden beast` number, since 1 + 46 + 1 + 1 + 570 + 9 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 146115709344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078482 + ... + 2147630.

It is an arithmetic number, because the mean of its divisors is an integer number (1699015500).

Almost surely, 2^146115709344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146115709344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244658232000).

146115709344 is an abundant number, since it is smaller than the sum of its proper divisors (343200754656).

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

146115709344 is a wasteful number, since it uses less digits than its factorization.

146115709344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69228 (or 69217 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 146115709344 in words is "one hundred forty-six billion, one hundred fifteen million, seven hundred nine thousand, three hundred forty-four".