198545855249664 has 1080 divisors, whose sum is σ = 651059795758680. Its totient is φ = 60145287561216.

The previous prime is 198545855249647. The next prime is 198545855249699. The reversal of 198545855249664 is 466942558545891.

198545855249664 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 4 + 5 + 85 + 524 + 9 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 66640446489600 + 131905408760064 = 8163360^2 + 11485008^2 .

It is a super-2 number, since 2×198545855249664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80155773994 + ... + 80155776470.

It is an arithmetic number, because the mean of its divisors is an integer number (602833144221).

Almost surely, 2^{198545855249664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198545855249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325529897879340).

198545855249664 is an abundant number, since it is smaller than the sum of its proper divisors (452513940509016).

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

198545855249664 is a wasteful number, since it uses less digits than its factorization.

198545855249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2841 counting only the distinct ones).

The product of its digits is 14929920000, while the sum is 81.

The spelling of 198545855249664 in words is "one hundred ninety-eight trillion, five hundred forty-five billion, eight hundred fifty-five million, two hundred forty-nine thousand, six hundred sixty-four".