16465711104 has 312 divisors, whose sum is σ = 50232716352. Its totient is φ = 5388042240.

The previous prime is 16465711061. The next prime is 16465711123. The reversal of 16465711104 is 40111756461.

16465711104 is a `hidden beast` number, since 1 + 646 + 5 + 7 + 1 + 1 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×16465711104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70668172 + ... + 70668404.

It is an arithmetic number, because the mean of its divisors is an integer number (161002296).

Almost surely, 2^16465711104 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 16465711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116358176).

16465711104 is an abundant number, since it is smaller than the sum of its proper divisors (33767005248).

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

16465711104 is an frugal number, since it uses more digits than its factorization.

16465711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 16465711104 in words is "sixteen billion, four hundred sixty-five million, seven hundred eleven thousand, one hundred four".