1414065632112 has 180 divisors, whose sum is σ = 4639780344576. Its totient is φ = 400837248000.

The previous prime is 1414065632099. The next prime is 1414065632129. The reversal of 1414065632112 is 2112365604141.

1414065632112 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 0 + 6 + 5 + 632 + 1 + 12 = 666.

It is a super-2 number, since 2×1414065632112² (a number of 25 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107112 + ... + 1685112.

Almost surely, 2^{1414065632112} is an apocalyptic number.

1414065632112 is a gapful number since it is divisible by the number (12) 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 1414065632112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319890172288).

1414065632112 is an abundant number, since it is smaller than the sum of its proper divisors (3225714712464).

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

1414065632112 is a wasteful number, since it uses less digits than its factorization.

1414065632112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578156 (or 1578140 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1414065632112 in words is "one trillion, four hundred fourteen billion, sixty-five million, six hundred thirty-two thousand, one hundred twelve".