18669750306144 has 384 divisors, whose sum is σ = 58403860365312. Its totient is φ = 5110749665280.

The previous prime is 18669750306133. The next prime is 18669750306149. The reversal of 18669750306144 is 44160305796681.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18669750306149) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1565854167 + ... + 1565866089.

It is an arithmetic number, because the mean of its divisors is an integer number (152093386368).

Almost surely, 2^{18669750306144} is an apocalyptic number.

18669750306144 is a gapful number since it is divisible by the number (14) 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 18669750306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29201930182656).

18669750306144 is an abundant number, since it is smaller than the sum of its proper divisors (39734110059168).

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

18669750306144 is a wasteful number, since it uses less digits than its factorization.

18669750306144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938 (or 12930 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 18669750306144 in words is "eighteen trillion, six hundred sixty-nine billion, seven hundred fifty million, three hundred six thousand, one hundred forty-four".