16356811318848 has 2352 divisors, whose sum is σ = 68037822979200. Its totient is φ = 3782405652480.

The previous prime is 16356811318723. The next prime is 16356811318873. The reversal of 16356811318848 is 84881311865361.

It is a happy number.

16356811318848 is a `hidden beast` number, since 1 + 6 + 3 + 568 + 1 + 13 + 18 + 8 + 48 = 666.

16356811318848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 17606900848 + ... + 17606901776.

Almost surely, 2^{16356811318848} is an apocalyptic number.

16356811318848 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 16356811318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34018911489600).

16356811318848 is an abundant number, since it is smaller than the sum of its proper divisors (51681011660352).

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

16356811318848 is a wasteful number, since it uses less digits than its factorization.

16356811318848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 994 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 16356811318848 in words is "sixteen trillion, three hundred fifty-six billion, eight hundred eleven million, three hundred eighteen thousand, eight hundred forty-eight".