820192233168 has 360 divisors, whose sum is σ = 3035247051200. Its totient is φ = 201823902720.

The previous prime is 820192233131. The next prime is 820192233209. The reversal of 820192233168 is 861332291028.

It is a super-2 number, since 2×820192233168² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2140428 + ... + 2494356.

Almost surely, 2^820192233168 is an apocalyptic number.

820192233168 is a gapful number since it is divisible by the number (88) 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 820192233168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517623525600).

820192233168 is an abundant number, since it is smaller than the sum of its proper divisors (2215054818032).

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

820192233168 is a wasteful number, since it uses less digits than its factorization.

820192233168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353991 (or 353971 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 820192233168 in words is "eight hundred twenty billion, one hundred ninety-two million, two hundred thirty-three thousand, one hundred sixty-eight".