5334615306144 has 576 divisors, whose sum is σ = 16534254522240. Its totient is φ = 1689673789440.

The previous prime is 5334615306131. The next prime is 5334615306151. The reversal of 5334615306144 is 4416035164335.

5334615306144 is a `hidden beast` number, since 5 + 33 + 46 + 1 + 530 + 6 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5334615306144.

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 95 ways as a sum of consecutive naturals, for example, 7879785934 + ... + 7879786610.

It is an arithmetic number, because the mean of its divisors is an integer number (28705302990).

Almost surely, 2^{5334615306144} is an apocalyptic number.

5334615306144 is a gapful number since it is divisible by the number (54) 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 5334615306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267127261120).

5334615306144 is an abundant number, since it is smaller than the sum of its proper divisors (11199639216096).

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

5334615306144 is a wasteful number, since it uses less digits than its factorization.

5334615306144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 5334615306144 in words is "five trillion, three hundred thirty-four billion, six hundred fifteen million, three hundred six thousand, one hundred forty-four".