198002859264 has 720 divisors, whose sum is σ = 711153451008. Its totient is φ = 53571538944.

The previous prime is 198002859239. The next prime is 198002859277. The reversal of 198002859264 is 462958200891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 198002859264.

It is a congruent number.

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, 423988759 + ... + 423989225.

Almost surely, 2^198002859264 is an apocalyptic number.

198002859264 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 198002859264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355576725504).

198002859264 is an abundant number, since it is smaller than the sum of its proper divisors (513150591744).

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

198002859264 is a wasteful number, since it uses less digits than its factorization.

198002859264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 198002859264 in words is "one hundred ninety-eight billion, two million, eight hundred fifty-nine thousand, two hundred sixty-four".