146459894688189 has 16 divisors (see below), whose sum is σ = 216977813424000. Its totient is φ = 97639843543488.

The previous prime is 146459894688179. The next prime is 146459894688221. The reversal of 146459894688189 is 981886498954641.

146459894688189 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 59 + 89 + 468 + 8 + 18 + 9 = 666.

It is not a de Polignac number, because 146459894688189 - 2¹² = 146459894684093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146459894688099 and 146459894688108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146459894688169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48044512 + ... + 51001910.

It is an arithmetic number, because the mean of its divisors is an integer number (13561113339000).

Almost surely, 2^{146459894688189} is an apocalyptic number.

It is an amenable number.

146459894688189 is a deficient number, since it is larger than the sum of its proper divisors (70517918735811).

146459894688189 is a wasteful number, since it uses less digits than its factorization.

146459894688189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791601 (or 4791595 counting only the distinct ones).

The product of its digits is 34398535680, while the sum is 90.

The spelling of 146459894688189 in words is "one hundred forty-six trillion, four hundred fifty-nine billion, eight hundred ninety-four million, six hundred eighty-eight thousand, one hundred eighty-nine".