146564816112 has 360 divisors, whose sum is σ = 489185638032. Its totient is φ = 40689285120.

The previous prime is 146564816063. The next prime is 146564816201. The reversal of 146564816112 is 211618465641.

146564816112 is a `hidden beast` number, since 1 + 4 + 6 + 56 + 481 + 6 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31029783 + ... + 31034505.

Almost surely, 2^146564816112 is an apocalyptic number.

146564816112 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 146564816112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244592819016).

146564816112 is an abundant number, since it is smaller than the sum of its proper divisors (342620821920).

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

146564816112 is a wasteful number, since it uses less digits than its factorization.

146564816112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4889 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 146564816112 in words is "one hundred forty-six billion, five hundred sixty-four million, eight hundred sixteen thousand, one hundred twelve".