1414506636564 has 288 divisors, whose sum is σ = 3993382256640. Its totient is φ = 381262775040.

The previous prime is 1414506636559. The next prime is 1414506636583. The reversal of 1414506636564 is 4656366054141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1559543799 + ... + 1559544705.

Almost surely, 2^{1414506636564} is an apocalyptic number.

1414506636564 is a gapful number since it is divisible by the number (14) 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 1414506636564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996691128320).

1414506636564 is an abundant number, since it is smaller than the sum of its proper divisors (2578875620076).

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

1414506636564 is a wasteful number, since it uses less digits than its factorization.

1414506636564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 1414506636564 in words is "one trillion, four hundred fourteen billion, five hundred six million, six hundred thirty-six thousand, five hundred sixty-four".