16318497838464 has 256 divisors, whose sum is σ = 49830910272000. Its totient is φ = 5251096553472.

The previous prime is 16318497838457. The next prime is 16318497838471. The reversal of 16318497838464 is 46483879481361.

16318497838464 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 84 + 9 + 7 + 83 + 8 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (16318497838457) and next prime (16318497838471).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16318497838392 and 16318497838401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089126717 + ... + 1089141699.

It is an arithmetic number, because the mean of its divisors is an integer number (194651993250).

Almost surely, 2^{16318497838464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16318497838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24915455136000).

16318497838464 is an abundant number, since it is smaller than the sum of its proper divisors (33512412433536).

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

16318497838464 is a wasteful number, since it uses less digits than its factorization.

16318497838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25902 (or 25884 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 16318497838464 in words is "sixteen trillion, three hundred eighteen billion, four hundred ninety-seven million, eight hundred thirty-eight thousand, four hundred sixty-four".