146456624912 has 160 divisors (see below), whose sum is σ = 324962534400. Its totient is φ = 63810160128.

The previous prime is 146456624849. The next prime is 146456624921. The reversal of 146456624912 is 219426654641.

146456624912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146456624912² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63870038 + ... + 63872330.

It is an arithmetic number, because the mean of its divisors is an integer number (2031015840).

Almost surely, 2^146456624912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146456624912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162481267200).

146456624912 is an abundant number, since it is smaller than the sum of its proper divisors (178505909488).

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

146456624912 is a wasteful number, since it uses less digits than its factorization.

146456624912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2410 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 50.

The spelling of 146456624912 in words is "one hundred forty-six billion, four hundred fifty-six million, six hundred twenty-four thousand, nine hundred twelve".