1414662361056 has 288 divisors, whose sum is σ = 4656826556928. Its totient is φ = 398995153920.

The previous prime is 1414662361019. The next prime is 1414662361097. The reversal of 1414662361056 is 6501632664141.

1414662361056 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 6 + 6 + 23 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268893466 + ... + 268898726.

It is an arithmetic number, because the mean of its divisors is an integer number (16169536656).

Almost surely, 2^{1414662361056} is an apocalyptic number.

1414662361056 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 1414662361056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328413278464).

1414662361056 is an abundant number, since it is smaller than the sum of its proper divisors (3242164195872).

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

1414662361056 is a wasteful number, since it uses less digits than its factorization.

1414662361056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6974 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1414662361056 in words is "one trillion, four hundred fourteen billion, six hundred sixty-two million, three hundred sixty-one thousand, fifty-six".