141209748164800 has 1008 divisors, whose sum is σ = 430864849134720. Its totient is φ = 45259833507840.

The previous prime is 141209748164717. The next prime is 141209748164803. The reversal of 141209748164800 is 8461847902141.

It is not an unprimeable number, because it can be changed into a prime (141209748164803) 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 143 ways as a sum of consecutive naturals, for example, 191082202831 + ... + 191082203569.

It is an arithmetic number, because the mean of its divisors is an integer number (427445286840).

Almost surely, 2^{141209748164800} is an apocalyptic number.

141209748164800 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 141209748164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215432424567360).

141209748164800 is an abundant number, since it is smaller than the sum of its proper divisors (289655100969920).

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

141209748164800 is a wasteful number, since it uses less digits than its factorization.

141209748164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The spelling of 141209748164800 in words is "one hundred forty-one trillion, two hundred nine billion, seven hundred forty-eight million, one hundred sixty-four thousand, eight hundred".