16460882322864 has 480 divisors, whose sum is σ = 51479675089920. Its totient is φ = 4515794841600.

The previous prime is 16460882322827. The next prime is 16460882322883. The reversal of 16460882322864 is 46822328806461.

It is a junction number, because it is equal to n+sod(n) for n = 16460882322798 and 16460882322807.

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, 2169041182 + ... + 2169048770.

It is an arithmetic number, because the mean of its divisors is an integer number (107249323104).

Almost surely, 2^{16460882322864} is an apocalyptic number.

16460882322864 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 16460882322864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25739837544960).

16460882322864 is an abundant number, since it is smaller than the sum of its proper divisors (35018792767056).

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

16460882322864 is a wasteful number, since it uses less digits than its factorization.

16460882322864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 16460882322864 in words is "sixteen trillion, four hundred sixty billion, eight hundred eighty-two million, three hundred twenty-two thousand, eight hundred sixty-four".