3648048366144 has 672 divisors, whose sum is σ = 12855991438080. Its totient is φ = 902890340352.

The previous prime is 3648048366107. The next prime is 3648048366173. The reversal of 3648048366144 is 4416638408463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149076342 + ... + 149100810.

It is an arithmetic number, because the mean of its divisors is an integer number (19130939640).

Almost surely, 2^{3648048366144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3648048366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427995719040).

3648048366144 is an abundant number, since it is smaller than the sum of its proper divisors (9207943071936).

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

3648048366144 is a wasteful number, since it uses less digits than its factorization.

3648048366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24587 (or 24570 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 57.

The spelling of 3648048366144 in words is "three trillion, six hundred forty-eight billion, forty-eight million, three hundred sixty-six thousand, one hundred forty-four".