1416499868224 has 189 divisors, whose sum is σ = 3340973604171. Its totient is φ = 594131865600.

The previous prime is 1416499868209. The next prime is 1416499868227. The reversal of 1416499868224 is 4228689946141.

The square root of 1416499868224 is 1190168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 888796417600 + 527703450624 = 942760^2 + 726432^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (1416499868227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3532418424 + ... + 3532418824.

Almost surely, 2^{1416499868224} is an apocalyptic number.

1416499868224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1416499868224 is the 1190168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416499868224

1416499868224 is an abundant number, since it is smaller than the sum of its proper divisors (1924473735947).

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

1416499868224 is an frugal number, since it uses more digits than its factorization.

1416499868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 463 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 64.

Multiplying 1416499868224 by its sum of digits (64), we get a square (90655991566336 = 9521344²).

1416499868224 divided by its sum of digits (64) gives a square (22132810441 = 148771²).

The spelling of 1416499868224 in words is "one trillion, four hundred sixteen billion, four hundred ninety-nine million, eight hundred sixty-eight thousand, two hundred twenty-four".