60144246240000 has 720 divisors, whose sum is σ = 215621932694784. Its totient is φ = 14790297600000.

The previous prime is 60144246239963. The next prime is 60144246240041. The reversal of 60144246240000 is 4264244106.

60144246240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7307035885 + ... + 7307044115.

Almost surely, 2^{60144246240000} is an apocalyptic number.

60144246240000 is a gapful number since it is divisible by the number (60) 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 60144246240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107810966347392).

60144246240000 is an abundant number, since it is smaller than the sum of its proper divisors (155477686454784).

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

60144246240000 is a wasteful number, since it uses less digits than its factorization.

60144246240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9454 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 60144246240000 in words is "sixty trillion, one hundred forty-four billion, two hundred forty-six million, two hundred forty thousand".