16754083416 has 320 divisors, whose sum is σ = 57248294400. Its totient is φ = 4471137792.

The previous prime is 16754083391. The next prime is 16754083417. The reversal of 16754083416 is 61438045761.

16754083416 is a `hidden beast` number, since 1 + 67 + 540 + 8 + 3 + 41 + 6 = 666.

It is a super-2 number, since 2×16754083416² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16754083417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6290101 + ... + 6292763.

It is an arithmetic number, because the mean of its divisors is an integer number (178900920).

Almost surely, 2^16754083416 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 16754083416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28624147200).

16754083416 is an abundant number, since it is smaller than the sum of its proper divisors (40494210984).

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

16754083416 is a wasteful number, since it uses less digits than its factorization.

16754083416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16754083416 in words is "sixteen billion, seven hundred fifty-four million, eighty-three thousand, four hundred sixteen".