8331451968 has 336 divisors, whose sum is σ = 27278868480. Its totient is φ = 2231276544.

The previous prime is 8331451939. The next prime is 8331451979. The reversal of 8331451968 is 8691541338.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22701321 + ... + 22701687.

Almost surely, 2^8331451968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8331451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13639434240).

8331451968 is an abundant number, since it is smaller than the sum of its proper divisors (18947416512).

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

8331451968 is a wasteful number, since it uses less digits than its factorization.

8331451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 8331451968 is about 91276.7876735372. The cubic root of 8331451968 is about 2027.2480824549.

The spelling of 8331451968 in words is "eight billion, three hundred thirty-one million, four hundred fifty-one thousand, nine hundred sixty-eight".