198131814400 has 351 divisors, whose sum is σ = 537025394451. Its totient is φ = 72472657920.

The previous prime is 198131814383. The next prime is 198131814401. The reversal of 198131814400 is 4418131891.

The square root of 198131814400 is 445120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 51068768256 + 147063046144 = 225984^2 + 383488^2 .

It is a super-3 number, since 3×198131814400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (198131814401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1851699147 + ... + 1851699253.

Almost surely, 2^198131814400 is an apocalyptic number.

198131814400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198131814400 is the 445120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198131814400

198131814400 is an abundant number, since it is smaller than the sum of its proper divisors (338893580051).

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

198131814400 is an equidigital number, since it uses as much as digits as its factorization.

198131814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 198131814400 in words is "one hundred ninety-eight billion, one hundred thirty-one million, eight hundred fourteen thousand, four hundred".