16714174464 has 156 divisors (see below), whose sum is σ = 51994797036. Its totient is φ = 5142675456.

The previous prime is 16714174441. The next prime is 16714174481. The reversal of 16714174464 is 46447141761.

16714174464 is a `hidden beast` number, since 1 + 6 + 7 + 14 + 174 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7498174464 + 9216000000 = 86592^2 + 96000^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461794 + ... + 496670.

It is an arithmetic number, because the mean of its divisors is an integer number (333299981).

Almost surely, 2^16714174464 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 16714174464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25997398518).

16714174464 is an abundant number, since it is smaller than the sum of its proper divisors (35280622572).

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

16714174464 is a wasteful number, since it uses less digits than its factorization.

16714174464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34920 (or 34895 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 16714174464 in words is "sixteen billion, seven hundred fourteen million, one hundred seventy-four thousand, four hundred sixty-four".