189195037632216 has 480 divisors, whose sum is σ = 695667927200400. Its totient is φ = 47447028840960.

The previous prime is 189195037632203. The next prime is 189195037632233. The reversal of 189195037632216 is 612236730591981.

189195037632216 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 9 + 503 + 76 + 32 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 789510 + ... + 19468266.

Almost surely, 2^{189195037632216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189195037632216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347833963600200).

189195037632216 is an abundant number, since it is smaller than the sum of its proper divisors (506472889568184).

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

189195037632216 is a wasteful number, since it uses less digits than its factorization.

189195037632216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18678829 (or 18678809 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 189195037632216 in words is "one hundred eighty-nine trillion, one hundred ninety-five billion, thirty-seven million, six hundred thirty-two thousand, two hundred sixteen".