198148861440 has 800 divisors, whose sum is σ = 744896386080. Its totient is φ = 50276007936.

The previous prime is 198148861397. The next prime is 198148861441. The reversal of 198148861440 is 44168841891.

198148861440 is a `hidden beast` number, since 1 + 9 + 8 + 14 + 8 + 8 + 614 + 4 + 0 = 666.

It is a super-3 number, since 3×198148861440³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198148861441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 499115322 + ... + 499115718.

Almost surely, 2^198148861440 is an apocalyptic number.

198148861440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198148861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372448193040).

198148861440 is an abundant number, since it is smaller than the sum of its proper divisors (546747524640).

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

198148861440 is an equidigital number, since it uses as much as digits as its factorization.

198148861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 198148861440 in words is "one hundred ninety-eight billion, one hundred forty-eight million, eight hundred sixty-one thousand, four hundred forty".