1414101306168 has 96 divisors (see below), whose sum is σ = 3860415811200. Its totient is φ = 467616711744.

The previous prime is 1414101306067. The next prime is 1414101306199. The reversal of 1414101306168 is 8616031014141.

1414101306168 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 0 + 1 + 30 + 616 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6309453 + ... + 6529731.

It is an arithmetic number, because the mean of its divisors is an integer number (40212664700).

Almost surely, 2^{1414101306168} is an apocalyptic number.

1414101306168 is a gapful number since it is divisible by the number (18) 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 1414101306168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930207905600).

1414101306168 is an abundant number, since it is smaller than the sum of its proper divisors (2446314505032).

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

1414101306168 is a wasteful number, since it uses less digits than its factorization.

1414101306168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221001 (or 220994 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1414101306168 in words is "one trillion, four hundred fourteen billion, one hundred one million, three hundred six thousand, one hundred sixty-eight".