199516529001024 has 105 divisors (see below), whose sum is σ = 591432509551081. Its totient is φ = 66505170666240.

The previous prime is 199516529000989. The next prime is 199516529001061. The reversal of 199516529001024 is 420100925615991.

It is a happy number.

The square root of 199516529001024 is 14125032.

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

199516529001024 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 1 + 6 + 529 + 0 + 0 + 102 + 4 = 666.

199516529001024 is digitally balanced in base 3, 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., 99269977218624 + 100246551782400 = 9963432^2 + 10012320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1016904214 + ... + 1017100394.

Almost surely, 2^{199516529001024} is an apocalyptic number.

199516529001024 is the 14125032-nd square number.

It is an amenable number.

199516529001024 is an abundant number, since it is smaller than the sum of its proper divisors (391915980550057).

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

199516529001024 is an frugal number, since it uses more digits than its factorization.

199516529001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392386 (or 196186 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 199516529001024 in words is "one hundred ninety-nine trillion, five hundred sixteen billion, five hundred twenty-nine million, one thousand, twenty-four".