189738141505536 has 576 divisors, whose sum is σ = 578117678392800. Its totient is φ = 54969921699840.

The previous prime is 189738141505531. The next prime is 189738141505537. The reversal of 189738141505536 is 635505141837981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189738141505531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2839975300 + ... + 2840042108.

Almost surely, 2^{189738141505536} is an apocalyptic number.

189738141505536 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 189738141505536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289058839196400).

189738141505536 is an abundant number, since it is smaller than the sum of its proper divisors (388379536887264).

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

189738141505536 is a wasteful number, since it uses less digits than its factorization.

189738141505536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66946 (or 66895 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 66.

The spelling of 189738141505536 in words is "one hundred eighty-nine trillion, seven hundred thirty-eight billion, one hundred forty-one million, five hundred five thousand, five hundred thirty-six".