1416882816 has 192 divisors, whose sum is σ = 4382164800. Its totient is φ = 437821440.

The previous prime is 1416882811. The next prime is 1416882853. The reversal of 1416882816 is 6182886141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1416882811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1389955 + ... + 1390973.

It is an arithmetic number, because the mean of its divisors is an integer number (22823775).

Almost surely, 2^1416882816 is an apocalyptic number.

1416882816 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 1416882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191082400).

1416882816 is an abundant number, since it is smaller than the sum of its proper divisors (2965281984).

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

1416882816 is a wasteful number, since it uses less digits than its factorization.

1416882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1112 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1416882816 is about 37641.5039019431. The cubic root of 1416882816 is about 1123.1678004746.

The spelling of 1416882816 in words is "one billion, four hundred sixteen million, eight hundred eighty-two thousand, eight hundred sixteen".