189696088161216 has 3584 divisors, whose sum is σ = 791077432320000. Its totient is φ = 44561153064960.

The previous prime is 189696088161119. The next prime is 189696088161241. The reversal of 189696088161216 is 612161880696981.

189696088161216 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 9 + 608 + 8 + 1 + 6 + 1 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 201589891306 + ... + 201589892246.

It is an arithmetic number, because the mean of its divisors is an integer number (220724730000).

Almost surely, 2^{189696088161216} is an apocalyptic number.

189696088161216 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 189696088161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395538716160000).

189696088161216 is an abundant number, since it is smaller than the sum of its proper divisors (601381344158784).

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

189696088161216 is an equidigital number, since it uses as much as digits as its factorization.

189696088161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 72.

The spelling of 189696088161216 in words is "one hundred eighty-nine trillion, six hundred ninety-six billion, eighty-eight million, one hundred sixty-one thousand, two hundred sixteen".