1416614113376 has 288 divisors, whose sum is σ = 3561117364224. Its totient is φ = 542886220800.

The previous prime is 1416614113361. The next prime is 1416614113427. The reversal of 1416614113376 is 6733114166141.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1641499121 + ... + 1641499983.

It is an arithmetic number, because the mean of its divisors is an integer number (12364990848).

Almost surely, 2^{1416614113376} is an apocalyptic number.

1416614113376 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 1416614113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780558682112).

1416614113376 is an abundant number, since it is smaller than the sum of its proper divisors (2144503250848).

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

1416614113376 is a wasteful number, since it uses less digits than its factorization.

1416614113376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1807 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The spelling of 1416614113376 in words is "one trillion, four hundred sixteen billion, six hundred fourteen million, one hundred thirteen thousand, three hundred seventy-six".