198849909960 has 320 divisors, whose sum is σ = 721956034800. Its totient is φ = 48798941184.

The previous prime is 198849909949. The next prime is 198849909977. The reversal of 198849909960 is 69909948891.

It can be written as a sum of positive squares in 8 ways, for example, as 54916172964 + 143933736996 = 234342^2 + 379386^2 .

It is a super-2 number, since 2×198849909960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14187436 + ... + 14201444.

Almost surely, 2^198849909960 is an apocalyptic number.

198849909960 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 198849909960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360978017400).

198849909960 is an abundant number, since it is smaller than the sum of its proper divisors (523106124840).

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

198849909960 is a wasteful number, since it uses less digits than its factorization.

198849909960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14382 (or 14369 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 72.

It can be divided in two parts, 198849 and 909960, that added together give a square (1108809 = 1053²).

The spelling of 198849909960 in words is "one hundred ninety-eight billion, eight hundred forty-nine million, nine hundred nine thousand, nine hundred sixty".