199507941073984 has 63 divisors (see below), whose sum is σ = 397114697474757. Its totient is φ = 99448480919808.

The previous prime is 199507941073963. The next prime is 199507941074003. The reversal of 199507941073984 is 489370149705991.

The square root of 199507941073984 is 14124728.

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

199507941073984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 146437298872384 + 53070642201600 = 12101128^2 + 7284960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 199507941073984.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39436238047 + ... + 39436243105.

Almost surely, 2^{199507941073984} is an apocalyptic number.

199507941073984 is the 14124728-th square number.

It is an amenable number.

199507941073984 is a deficient number, since it is larger than the sum of its proper divisors (197606756400773).

199507941073984 is an frugal number, since it uses more digits than its factorization.

199507941073984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10828 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 76.

The spelling of 199507941073984 in words is "one hundred ninety-nine trillion, five hundred seven billion, nine hundred forty-one million, seventy-three thousand, nine hundred eighty-four".