16667633033140 has 96 divisors (see below), whose sum is σ = 36746944325280. Its totient is φ = 6341721071616.

The previous prime is 16667633033123. The next prime is 16667633033147. The reversal of 16667633033140 is 4133033676661.

It can be written as a sum of positive squares in 16 ways, for example, as 1336618078884 + 15331014954256 = 1156122^2 + 3915484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16667633033147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36907744 + ... + 37356616.

It is an arithmetic number, because the mean of its divisors is an integer number (382780670055).

Almost surely, 2^{16667633033140} is an apocalyptic number.

16667633033140 is a gapful number since it is divisible by the number (10) 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 16667633033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373472162640).

16667633033140 is an abundant number, since it is smaller than the sum of its proper divisors (20079311292140).

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

16667633033140 is a wasteful number, since it uses less digits than its factorization.

16667633033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449861 (or 449859 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 49.

The spelling of 16667633033140 in words is "sixteen trillion, six hundred sixty-seven billion, six hundred thirty-three million, thirty-three thousand, one hundred forty".