146809232754784 has 72 divisors (see below), whose sum is σ = 305075400378840. Its totient is φ = 69533933317632.

The previous prime is 146809232754761. The next prime is 146809232754799. The reversal of 146809232754784 is 487457232908641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110458092 + ... + 111779284.

It is an arithmetic number, because the mean of its divisors is an integer number (4237158338595).

It is a 1-persistent number, because it is pandigital, but 2⋅146809232754784 = 293618465509568 is not.

Almost surely, 2^{146809232754784} 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 146809232754784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152537700189420).

146809232754784 is an abundant number, since it is smaller than the sum of its proper divisors (158266167624056).

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

146809232754784 is a wasteful number, since it uses less digits than its factorization.

146809232754784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330860 (or 1330833 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 70.

The spelling of 146809232754784 in words is "one hundred forty-six trillion, eight hundred nine billion, two hundred thirty-two million, seven hundred fifty-four thousand, seven hundred eighty-four".