189233648438016 has 576 divisors, whose sum is σ = 673533867130880. Its totient is φ = 45755845263360.

The previous prime is 189233648437993. The next prime is 189233648438053. The reversal of 189233648438016 is 610834846332981.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38865501 + ... + 43462563.

Almost surely, 2^{189233648438016} is an apocalyptic number.

189233648438016 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 189233648438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336766933565440).

189233648438016 is an abundant number, since it is smaller than the sum of its proper divisors (484300218692864).

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

189233648438016 is a wasteful number, since it uses less digits than its factorization.

189233648438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597152 (or 4597138 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 66.

The spelling of 189233648438016 in words is "one hundred eighty-nine trillion, two hundred thirty-three billion, six hundred forty-eight million, four hundred thirty-eight thousand, sixteen".