1468108800 has 468 divisors, whose sum is σ = 5545634640. Its totient is φ = 384860160.

The previous prime is 1468108799. The next prime is 1468108823. The reversal of 1468108800 is 88018641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24883171 + ... + 24883229.

Almost surely, 2^1468108800 is an apocalyptic number.

1468108800 is a gapful number since it is divisible by the number (10) 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 1468108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772817320).

1468108800 is an abundant number, since it is smaller than the sum of its proper divisors (4077525840).

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

1468108800 is an frugal number, since it uses more digits than its factorization.

1468108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1468108800 is about 38315.9079234722. The cubic root of 1468108800 is about 1136.5435473305.

The spelling of 1468108800 in words is "one billion, four hundred sixty-eight million, one hundred eight thousand, eight hundred".