6144450544416 has 48 divisors (see below), whose sum is σ = 16138490203584. Its totient is φ = 2046968273664.

The previous prime is 6144450544411. The next prime is 6144450544439.

6144450544416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6144450544411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18300076 + ... + 18632811.

It is an arithmetic number, because the mean of its divisors is an integer number (336218545908).

Almost surely, 2^{6144450544416} is an apocalyptic number.

It is an amenable number.

6144450544416 is an abundant number, since it is smaller than the sum of its proper divisors (9994039659168).

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

6144450544416 is a wasteful number, since it uses less digits than its factorization.

6144450544416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36934633 (or 36934625 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

It can be divided in two parts, 6144450 and 544416, that added together give a palindrome (6688866).

The spelling of 6144450544416 in words is "six trillion, one hundred forty-four billion, four hundred fifty million, five hundred forty-four thousand, four hundred sixteen".