198670775625 has 225 divisors, whose sum is σ = 432933745761. Its totient is φ = 90500004000.

The previous prime is 198670775617. The next prime is 198670775657. The reversal of 198670775625 is 526577076891.

The square root of 198670775625 is 445725.

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

198670775625 is a `hidden beast` number, since 1 + 9 + 8 + 67 + 0 + 7 + 7 + 562 + 5 = 666.

198670775625 is digitally balanced in base 2, 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 2 ways, for example, as 15575788809 + 183094986816 = 124803^2 + 427896^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 198670775625 - 2³ = 198670775617 is a prime.

It is a super-3 number, since 3×198670775625³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 702016734 + ... + 702017016.

Almost surely, 2^198670775625 is an apocalyptic number.

198670775625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

198670775625 is the 445725-th square number.

198670775625 is the 222863-rd centered octagonal number.

It is an amenable number.

198670775625 is an abundant number, since it is smaller than the sum of its proper divisors (234262970136).

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

198670775625 is an frugal number, since it uses more digits than its factorization.

198670775625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 198670775625 in words is "one hundred ninety-eight billion, six hundred seventy million, seven hundred seventy-five thousand, six hundred twenty-five".