1968133248 has 256 divisors, whose sum is σ = 6220368000. Its totient is φ = 610467840.

The previous prime is 1968133187. The next prime is 1968133309. The reversal of 1968133248 is 8423318691.

It is an interprime number because it is at equal distance from previous prime (1968133187) and next prime (1968133309).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8166408 + ... + 8166648.

Almost surely, 2^1968133248 is an apocalyptic number.

1968133248 is a gapful number since it is divisible by the number (18) 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 1968133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110184000).

1968133248 is an abundant number, since it is smaller than the sum of its proper divisors (4252234752).

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

1968133248 is a wasteful number, since it uses less digits than its factorization.

1968133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 402 counting only the distinct ones).

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

The square root of 1968133248 is about 44363.6478211610. The cubic root of 1968133248 is about 1253.1935933937.

The spelling of 1968133248 in words is "one billion, nine hundred sixty-eight million, one hundred thirty-three thousand, two hundred forty-eight".