198399771415296 has 1296 divisors, whose sum is σ = 684546265428480. Its totient is φ = 56828441272320.

The previous prime is 198399771415229. The next prime is 198399771415343. The reversal of 198399771415296 is 692514177993891.

198399771415296 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 9 + 9 + 77 + 14 + 1 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190952618745 + ... + 190952619783.

It is an arithmetic number, because the mean of its divisors is an integer number (528199278880).

Almost surely, 2^{198399771415296} is an apocalyptic number.

198399771415296 is a gapful number since it is divisible by the number (16) 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 198399771415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342273132714240).

198399771415296 is an abundant number, since it is smaller than the sum of its proper divisors (486146494013184).

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

198399771415296 is a wasteful number, since it uses less digits than its factorization.

198399771415296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1847 counting only the distinct ones).

The product of its digits is 1851776640, while the sum is 81.

The spelling of 198399771415296 in words is "one hundred ninety-eight trillion, three hundred ninety-nine billion, seven hundred seventy-one million, four hundred fifteen thousand, two hundred ninety-six".