146985565872 has 80 divisors (see below), whose sum is σ = 385569052160. Its totient is φ = 48240251136.

The previous prime is 146985565849. The next prime is 146985565873. The reversal of 146985565872 is 278565589641.

It is a super-2 number, since 2×146985565872² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146985565873) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7287033 + ... + 7307175.

It is an arithmetic number, because the mean of its divisors is an integer number (4819613152).

Almost surely, 2^146985565872 is an apocalyptic number.

146985565872 is a gapful number since it is divisible by the number (12) 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 146985565872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192784526080).

146985565872 is an abundant number, since it is smaller than the sum of its proper divisors (238583486288).

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

146985565872 is a wasteful number, since it uses less digits than its factorization.

146985565872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22490 (or 22484 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 66.

The spelling of 146985565872 in words is "one hundred forty-six billion, nine hundred eighty-five million, five hundred sixty-five thousand, eight hundred seventy-two".