198756414 has 24 divisors (see below), whose sum is σ = 430901640. Its totient is φ = 66211728.

The previous prime is 198756391. The next prime is 198756419. The reversal of 198756414 is 414657891.

198756414 is a `hidden beast` number, since 1 + 9 + 87 + 564 + 1 + 4 = 666.

It is a super-5 number, since 5×198756414⁵ (a number of 43 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 198756414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198756419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48784 + ... + 52700.

It is an arithmetic number, because the mean of its divisors is an integer number (17954235).

Almost surely, 2^198756414 is an apocalyptic number.

198756414 is an abundant number, since it is smaller than the sum of its proper divisors (232145226).

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

198756414 is a wasteful number, since it uses less digits than its factorization.

198756414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744 (or 6741 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 198756414 is about 14098.0996591739. The cubic root of 198756414 is about 583.5889375253.

The spelling of 198756414 in words is "one hundred ninety-eight million, seven hundred fifty-six thousand, four hundred fourteen".