146280017664 has 360 divisors, whose sum is σ = 496539533952. Its totient is φ = 42398484480.

The previous prime is 146280017659. The next prime is 146280017671. The reversal of 146280017664 is 466710082641.

146280017664 is a `hidden beast` number, since 1 + 4 + 628 + 0 + 0 + 17 + 6 + 6 + 4 = 666.

146280017664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5232267 + ... + 5260149.

Almost surely, 2^146280017664 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 146280017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248269766976).

146280017664 is an abundant number, since it is smaller than the sum of its proper divisors (350259516288).

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

146280017664 is a wasteful number, since it uses less digits than its factorization.

146280017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27945 (or 27922 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 146280017664 in words is "one hundred forty-six billion, two hundred eighty million, seventeen thousand, six hundred sixty-four".