146365680384 has 432 divisors, whose sum is σ = 528268366080. Its totient is φ = 37863383040.

The previous prime is 146365680353. The next prime is 146365680431. The reversal of 146365680384 is 483086563641.

146365680384 is a `hidden beast` number, since 1 + 46 + 3 + 6 + 568 + 0 + 38 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146365680384.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47721219 + ... + 47724285.

It is an arithmetic number, because the mean of its divisors is an integer number (1222843440).

Almost surely, 2^146365680384 is an apocalyptic number.

146365680384 is a gapful number since it is divisible by the number (14) 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 146365680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264134183040).

146365680384 is an abundant number, since it is smaller than the sum of its proper divisors (381902685696).

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

146365680384 is a wasteful number, since it uses less digits than its factorization.

146365680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 146365680384 in words is "one hundred forty-six billion, three hundred sixty-five million, six hundred eighty thousand, three hundred eighty-four".