16135914663648 has 360 divisors, whose sum is σ = 51408737747136. Its totient is φ = 4962746880000.

The previous prime is 16135914663629. The next prime is 16135914663679. The reversal of 16135914663648 is 84636641953161.

It is a happy number.

16135914663648 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 591 + 4 + 6 + 6 + 36 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1226965873 + ... + 1226979023.

Almost surely, 2^{16135914663648} is an apocalyptic number.

16135914663648 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 16135914663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704368873568).

16135914663648 is an abundant number, since it is smaller than the sum of its proper divisors (35272823083488).

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

16135914663648 is a wasteful number, since it uses less digits than its factorization.

16135914663648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16000 (or 15970 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 16135914663648 in words is "sixteen trillion, one hundred thirty-five billion, nine hundred fourteen million, six hundred sixty-three thousand, six hundred forty-eight".