283499491968 has 1344 divisors, whose sum is σ = 1131645332160. Its totient is φ = 68976230400.

The previous prime is 283499491897. The next prime is 283499491991. The reversal of 283499491968 is 869194994382.

283499491968 is a `hidden beast` number, since 2 + 8 + 3 + 49 + 9 + 491 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×283499491968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 283499491896 and 283499491905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1343599383 + ... + 1343599593.

It is an arithmetic number, because the mean of its divisors is an integer number (841998015).

Almost surely, 2^283499491968 is an apocalyptic number.

283499491968 is a gapful number since it is divisible by the number (28) 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 283499491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565822666080).

283499491968 is an abundant number, since it is smaller than the sum of its proper divisors (848145840192).

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

283499491968 is a wasteful number, since it uses less digits than its factorization.

283499491968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 251 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 283499491968 in words is "two hundred eighty-three billion, four hundred ninety-nine million, four hundred ninety-one thousand, nine hundred sixty-eight".