198977631685344 has 120 divisors (see below), whose sum is σ = 590869122283440. Its totient is φ = 65681936584704.

The previous prime is 198977631685307. The next prime is 198977631685351. The reversal of 198977631685344 is 443586136779891.

198977631685344 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 7 + 7 + 63 + 16 + 8 + 534 + 4 = 666.

It is a super-3 number, since 3×198977631685344³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 19 ways as a sum of consecutive naturals, for example, 372383809 + ... + 372917760.

It is an arithmetic number, because the mean of its divisors is an integer number (4923909352362).

Almost surely, 2^{198977631685344} is an apocalyptic number.

It is an amenable number.

198977631685344 is an abundant number, since it is smaller than the sum of its proper divisors (391891490598096).

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

198977631685344 is a wasteful number, since it uses less digits than its factorization.

198977631685344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745301694 (or 745301677 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 198977631685344 in words is "one hundred ninety-eight trillion, nine hundred seventy-seven billion, six hundred thirty-one million, six hundred eighty-five thousand, three hundred forty-four".