16938349890 has 192 divisors, whose sum is σ = 51725174400. Its totient is φ = 3510312960.

The previous prime is 16938349849. The next prime is 16938349913. The reversal of 16938349890 is 9894383961.

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, 7259164 + ... + 7261496.

It is an arithmetic number, because the mean of its divisors is an integer number (269401950).

Almost surely, 2^16938349890 is an apocalyptic number.

16938349890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16938349890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862587200).

16938349890 is an abundant number, since it is smaller than the sum of its proper divisors (34786824510).

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

16938349890 is a wasteful number, since it uses less digits than its factorization.

16938349890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 16938349890 in words is "sixteen billion, nine hundred thirty-eight million, three hundred forty-nine thousand, eight hundred ninety".