189214051668480 has 960 divisors, whose sum is σ = 718533546052608. Its totient is φ = 45809365155840.

The previous prime is 189214051668443. The next prime is 189214051668493. The reversal of 189214051668480 is 84866150412981.

It is a happy number.

189214051668480 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 1 + 40 + 51 + 6 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3800446147 + ... + 3800495933.

Almost surely, 2^{189214051668480} is an apocalyptic number.

189214051668480 is a gapful number since it is divisible by the number (10) 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 189214051668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359266773026304).

189214051668480 is an abundant number, since it is smaller than the sum of its proper divisors (529319494384128).

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

189214051668480 is a wasteful number, since it uses less digits than its factorization.

189214051668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50177 (or 50158 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 189214051668480 in words is "one hundred eighty-nine trillion, two hundred fourteen billion, fifty-one million, six hundred sixty-eight thousand, four hundred eighty".