146959914816 has 392 divisors, whose sum is σ = 513698422944. Its totient is φ = 41105802240.

The previous prime is 146959914781. The next prime is 146959914817. The reversal of 146959914816 is 618419959641.

146959914816 is a `hidden beast` number, since 1 + 4 + 69 + 5 + 9 + 91 + 481 + 6 = 666.

146959914816 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 not an unprimeable number, because it can be changed into a prime (146959914817) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 6660795 + ... + 6682821.

Almost surely, 2^146959914816 is an apocalyptic number.

146959914816 is a gapful number since it is divisible by the number (16) 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 146959914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256849211472).

146959914816 is an abundant number, since it is smaller than the sum of its proper divisors (366738508128).

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

146959914816 is a wasteful number, since it uses less digits than its factorization.

146959914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22081 (or 22056 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 146959914816 in words is "one hundred forty-six billion, nine hundred fifty-nine million, nine hundred fourteen thousand, eight hundred sixteen".