198957908299536 has 45 divisors (see below), whose sum is σ = 556806286512021. Its totient is φ = 66319246345536.

The previous prime is 198957908299519. The next prime is 198957908299567. The reversal of 198957908299536 is 635992809759891.

The square root of 198957908299536 is 14105244.

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

198957908299536 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 579 + 0 + 8 + 29 + 9 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28000818896400 + 170957089403136 = 5291580^2 + 13075056^2 .

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, 168675210 + ... + 169850646.

Almost surely, 2^{198957908299536} is an apocalyptic number.

198957908299536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198957908299536 is the 14105244-th square number.

It is an amenable number.

198957908299536 is an abundant number, since it is smaller than the sum of its proper divisors (357848378212485).

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

198957908299536 is an frugal number, since it uses more digits than its factorization.

198957908299536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350888 (or 1175442 counting only the distinct ones).

The product of its (nonzero) digits is 23808556800, while the sum is 90.

The spelling of 198957908299536 in words is "one hundred ninety-eight trillion, nine hundred fifty-seven billion, nine hundred eight million, two hundred ninety-nine thousand, five hundred thirty-six".