198911540025 has 405 divisors, whose sum is σ = 438488722903. Its totient is φ = 89056281600.

The previous prime is 198911540011. The next prime is 198911540033. The reversal of 198911540025 is 520045119891.

The square root of 198911540025 is 445995.

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

198911540025 is a `hidden beast` number, since 1 + 9 + 89 + 1 + 1 + 540 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 30601554489 + 168309985536 = 174933^2 + 410256^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 198911540025 - 2²³ = 198903151417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 3753047899 + ... + 3753047951.

Almost surely, 2^198911540025 is an apocalyptic number.

198911540025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

198911540025 is the 445995-th square number.

198911540025 is the 222998-th centered octagonal number.

It is an amenable number.

198911540025 is an abundant number, since it is smaller than the sum of its proper divisors (239577182878).

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

198911540025 is a wasteful number, since it uses less digits than its factorization.

198911540025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 198911540025 in words is "one hundred ninety-eight billion, nine hundred eleven million, five hundred forty thousand, twenty-five".