980223951168 has 1792 divisors, whose sum is σ = 3973616640000. Its totient is φ = 234101145600.

The previous prime is 980223951131. The next prime is 980223951199. The reversal of 980223951168 is 861159322089.

980223951168 is a `hidden beast` number, since 98 + 0 + 2 + 2 + 39 + 511 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5078880480 + ... + 5078880672.

It is an arithmetic number, because the mean of its divisors is an integer number (2217420000).

Almost surely, 2^980223951168 is an apocalyptic number.

980223951168 is a gapful number since it is divisible by the number (98) 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 980223951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986808320000).

980223951168 is an abundant number, since it is smaller than the sum of its proper divisors (2993392688832).

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

980223951168 is a wasteful number, since it uses less digits than its factorization.

980223951168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

It can be divided in two parts, 980223 and 951168, that added together give a palindrome (1931391).

The spelling of 980223951168 in words is "nine hundred eighty billion, two hundred twenty-three million, nine hundred fifty-one thousand, one hundred sixty-eight".