146656938240000 has 720 divisors, whose sum is σ = 560431568757060. Its totient is φ = 36807966720000.

The previous prime is 146656938239969. The next prime is 146656938240011. The reversal of 146656938240000 is 42839656641.

146656938240000 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 569 + 38 + 2 + 40 + 0 + 0 + 0 = 666.

146656938240000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 1962599261184 + 144694338978816 = 1400928^2 + 12028896^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195465570 + ... + 196214430.

Almost surely, 2^{146656938240000} is an apocalyptic number.

146656938240000 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 146656938240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280215784378530).

146656938240000 is an abundant number, since it is smaller than the sum of its proper divisors (413774630517060).

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

146656938240000 is an equidigital number, since it uses as much as digits as its factorization.

146656938240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748926 (or 748888 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 146656938240000 in words is "one hundred forty-six trillion, six hundred fifty-six billion, nine hundred thirty-eight million, two hundred forty thousand".