199157604007041 has 9 divisors (see below), whose sum is σ = 287672155830241. Its totient is φ = 132771707780052.

The previous prime is 199157604007031. The next prime is 199157604007057. The reversal of 199157604007041 is 140700406751991.

It is a happy number.

The square root of 199157604007041 is 14112321.

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

199157604007041 is a `hidden beast` number, since 1 + 9 + 91 + 57 + 60 + 400 + 7 + 0 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 199157604007041 - 2⁵ = 199157604007009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199157604007031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39984910 + ... + 44689016.

Almost surely, 2^{199157604007041} is an apocalyptic number.

199157604007041 is the 14112321-st square number.

199157604007041 is the 7056161-st centered octagonal number.

It is an amenable number.

199157604007041 is a deficient number, since it is larger than the sum of its proper divisors (88514551823200).

199157604007041 is an frugal number, since it uses more digits than its factorization.

199157604007041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408220 (or 4704110 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 199157604007041 in words is "one hundred ninety-nine trillion, one hundred fifty-seven billion, six hundred four million, seven thousand, forty-one".