146243661412200 has 768 divisors, whose sum is σ = 518480215142400. Its totient is φ = 33753646080000.

The previous prime is 146243661412187. The next prime is 146243661412201. The reversal of 146243661412200 is 2214166342641.

146243661412200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146243661412201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 64452912666 + ... + 64452914934.

It is an arithmetic number, because the mean of its divisors is an integer number (675104446800).

Almost surely, 2^{146243661412200} is an apocalyptic number.

146243661412200 is a gapful number since it is divisible by the number (10) 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 146243661412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259240107571200).

146243661412200 is an abundant number, since it is smaller than the sum of its proper divisors (372236553730200).

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

146243661412200 is a wasteful number, since it uses less digits than its factorization.

146243661412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 146243661412200 in words is "one hundred forty-six trillion, two hundred forty-three billion, six hundred sixty-one million, four hundred twelve thousand, two hundred".