146688480660480 has 1408 divisors, whose sum is σ = 534147913728000. Its totient is φ = 34048711065600.

The previous prime is 146688480660401. The next prime is 146688480660487. The reversal of 146688480660480 is 84066084886641.

146688480660480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1408).

It is not an unprimeable number, because it can be changed into a prime (146688480660487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102651140406 + ... + 102651141834.

It is an arithmetic number, because the mean of its divisors is an integer number (379366416000).

Almost surely, 2^{146688480660480} is an apocalyptic number.

146688480660480 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 146688480660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267073956864000).

146688480660480 is an abundant number, since it is smaller than the sum of its proper divisors (387459433067520).

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

146688480660480 is a wasteful number, since it uses less digits than its factorization.

146688480660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 69.

The spelling of 146688480660480 in words is "one hundred forty-six trillion, six hundred eighty-eight billion, four hundred eighty million, six hundred sixty thousand, four hundred eighty".