141466838049600 has 336 divisors, whose sum is σ = 561635237294208. Its totient is φ = 30433202012160.

The previous prime is 141466838049569. The next prime is 141466838049601. The reversal of 141466838049600 is 6940838664141.

It is a happy number.

141466838049600 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141466838049601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123261817 + ... + 124404216.

It is an arithmetic number, because the mean of its divisors is an integer number (1671533444328).

Almost surely, 2^{141466838049600} is an apocalyptic number.

141466838049600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141466838049600 is an abundant number, since it is smaller than the sum of its proper divisors (420168399244608).

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

141466838049600 is a wasteful number, since it uses less digits than its factorization.

141466838049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247666082 (or 247666067 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 141466838049600 in words is "one hundred forty-one trillion, four hundred sixty-six billion, eight hundred thirty-eight million, forty-nine thousand, six hundred".