146504761344 has 120 divisors (see below), whose sum is σ = 434076245120. Its totient is φ = 48834772992.

The previous prime is 146504761289. The next prime is 146504761357. The reversal of 146504761344 is 443167405641.

146504761344 is a `hidden beast` number, since 1 + 4 + 6 + 504 + 7 + 6 + 134 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146504761344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276777 + ... + 607959.

Almost surely, 2^146504761344 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 146504761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217038122560).

146504761344 is an abundant number, since it is smaller than the sum of its proper divisors (287571483776).

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

146504761344 is an frugal number, since it uses more digits than its factorization.

146504761344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331220 (or 331188 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 146504761344 in words is "one hundred forty-six billion, five hundred four million, seven hundred sixty-one thousand, three hundred forty-four".