189017402689600 has 63 divisors (see below), whose sum is σ = 465102299679367. Its totient is φ = 75606741102080.

The previous prime is 189017402689597. The next prime is 189017402689607. The reversal of 189017402689600 is 6986204710981.

The square root of 189017402689600 is 13748360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 764953147456 + 188252449542144 = 874616^2 + 13720512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189017402689607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 549762546 + ... + 550106254.

Almost surely, 2^{189017402689600} is an apocalyptic number.

189017402689600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

189017402689600 is the 13748360-th square number.

It is an amenable number.

189017402689600 is an abundant number, since it is smaller than the sum of its proper divisors (276084896989767).

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

189017402689600 is an frugal number, since it uses more digits than its factorization.

189017402689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687440 (or 343716 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The spelling of 189017402689600 in words is "one hundred eighty-nine trillion, seventeen billion, four hundred two million, six hundred eighty-nine thousand, six hundred".