1468981248 has 112 divisors (see below), whose sum is σ = 4477146240. Its totient is φ = 419659776.

The previous prime is 1468981247. The next prime is 1468981343. The reversal of 1468981248 is 8421898641.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1468981248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468981247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167763 + ... + 176301.

It is an arithmetic number, because the mean of its divisors is an integer number (39974520).

Almost surely, 2^1468981248 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 1468981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238573120).

1468981248 is an abundant number, since it is smaller than the sum of its proper divisors (3008164992).

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

1468981248 is an frugal number, since it uses more digits than its factorization.

1468981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8575 (or 8551 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 1468981248 is about 38327.2911643909. The cubic root of 1468981248 is about 1136.7686393649.

The spelling of 1468981248 in words is "one billion, four hundred sixty-eight million, nine hundred eighty-one thousand, two hundred forty-eight".