17938907136 has 288 divisors, whose sum is σ = 54987115680. Its totient is φ = 5775556608.

The previous prime is 17938907117. The next prime is 17938907137. The reversal of 17938907136 is 63170983971.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17938907137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130940860 + ... + 130940996.

It is an arithmetic number, because the mean of its divisors is an integer number (190927485).

Almost surely, 2^17938907136 is an apocalyptic number.

17938907136 is a gapful number since it is divisible by the number (16) 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 17938907136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27493557840).

17938907136 is an abundant number, since it is smaller than the sum of its proper divisors (37048208544).

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

17938907136 is an frugal number, since it uses more digits than its factorization.

17938907136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 17938907136 in words is "seventeen billion, nine hundred thirty-eight million, nine hundred seven thousand, one hundred thirty-six".