146820982464 has 168 divisors, whose sum is σ = 454478562720. Its totient is φ = 45049024512.

The previous prime is 146820982433. The next prime is 146820982487. The reversal of 146820982464 is 464289028641.

It is a happy number.

146820982464 is a `hidden beast` number, since 14 + 6 + 82 + 0 + 98 + 2 + 464 = 666.

It is a super-2 number, since 2×146820982464² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146820982464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2660884 + ... + 2715500.

It is an arithmetic number, because the mean of its divisors is an integer number (2705229540).

Almost surely, 2^146820982464 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 146820982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227239281360).

146820982464 is an abundant number, since it is smaller than the sum of its proper divisors (307657580256).

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

146820982464 is a wasteful number, since it uses less digits than its factorization.

146820982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55007 (or 54994 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 146820982464 in words is "one hundred forty-six billion, eight hundred twenty million, nine hundred eighty-two thousand, four hundred sixty-four".