16938161300 has 72 divisors (see below), whose sum is σ = 38175389952. Its totient is φ = 6516288000.

The previous prime is 16938161299. The next prime is 16938161309. The reversal of 16938161300 is 316183961.

It is a super-4 number, since 4×16938161300⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16938161309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488540 + ... + 522060.

Almost surely, 2^16938161300 is an apocalyptic number.

16938161300 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 16938161300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19087694976).

16938161300 is an abundant number, since it is smaller than the sum of its proper divisors (21237228652).

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

16938161300 is a wasteful number, since it uses less digits than its factorization.

16938161300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33729 (or 33722 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 16938161300 in words is "sixteen billion, nine hundred thirty-eight million, one hundred sixty-one thousand, three hundred".