198582136704 has 512 divisors, whose sum is σ = 693919872000. Its totient is φ = 54733086720.

The previous prime is 198582136699. The next prime is 198582136717. The reversal of 198582136704 is 407631285891.

It is a super-2 number, since 2×198582136704² (a number of 23 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78211467 + ... + 78214005.

It is an arithmetic number, because the mean of its divisors is an integer number (1355312250).

It is a 1-persistent number, because it is pandigital, but 2⋅198582136704 = 397164273408 is not.

Almost surely, 2^198582136704 is an apocalyptic number.

198582136704 is a gapful number since it is divisible by the number (14) 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 198582136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346959936000).

198582136704 is an abundant number, since it is smaller than the sum of its proper divisors (495337735296).

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

198582136704 is a wasteful number, since it uses less digits than its factorization.

198582136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 198582136704 in words is "one hundred ninety-eight billion, five hundred eighty-two million, one hundred thirty-six thousand, seven hundred four".