146651673168 has 480 divisors, whose sum is σ = 555463114752. Its totient is φ = 34880025600.

The previous prime is 146651673149. The next prime is 146651673191. The reversal of 146651673168 is 861376156641.

It is a happy number.

146651673168 is a `hidden beast` number, since 1 + 4 + 66 + 516 + 7 + 3 + 1 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18302283 + ... + 18310293.

Almost surely, 2^146651673168 is an apocalyptic number.

146651673168 is a gapful number since it is divisible by the number (18) 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 146651673168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277731557376).

146651673168 is an abundant number, since it is smaller than the sum of its proper divisors (408811441584).

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

146651673168 is a wasteful number, since it uses less digits than its factorization.

146651673168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8183 (or 8174 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 146651673168 in words is "one hundred forty-six billion, six hundred fifty-one million, six hundred seventy-three thousand, one hundred sixty-eight".