1414668146688 has 168 divisors, whose sum is σ = 4241032695900. Its totient is φ = 471555551232.

The previous prime is 1414668146657. The next prime is 1414668146701. The reversal of 1414668146688 is 8866418664141.

1414668146688 is a `hidden beast` number, since 1 + 4 + 14 + 6 + 6 + 81 + 466 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1019223 + ... + 1966761.

Almost surely, 2^{1414668146688} is an apocalyptic number.

1414668146688 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 1414668146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120516347950).

1414668146688 is an abundant number, since it is smaller than the sum of its proper divisors (2826364549212).

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

1414668146688 is an frugal number, since it uses more digits than its factorization.

1414668146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947579 (or 947544 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 1414668146688 in words is "one trillion, four hundred fourteen billion, six hundred sixty-eight million, one hundred forty-six thousand, six hundred eighty-eight".