1468200816 has 100 divisors (see below), whose sum is σ = 4353200544. Its totient is φ = 477446400.

The previous prime is 1468200787. The next prime is 1468200817. The reversal of 1468200816 is 6180028641.

It is a super-2 number, since 2×1468200816² = 4311227272206131712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468200817) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 39321 + ... + 66951.

Almost surely, 2^1468200816 is an apocalyptic number.

1468200816 is a gapful number since it is divisible by the number (16) 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 1468200816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176600272).

1468200816 is an abundant number, since it is smaller than the sum of its proper divisors (2884999728).

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

1468200816 is a wasteful number, since it uses less digits than its factorization.

1468200816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27692 (or 27677 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1468200816 is about 38317.1086591877. The cubic root of 1468200816 is about 1136.5672917119.

The spelling of 1468200816 in words is "one billion, four hundred sixty-eight million, two hundred thousand, eight hundred sixteen".