16930083456 has 640 divisors, whose sum is σ = 62411025600. Its totient is φ = 4478976000.

The previous prime is 16930083439. The next prime is 16930083479. The reversal of 16930083456 is 65438003961.

16930083456 is a `hidden beast` number, since 169 + 30 + 0 + 8 + 3 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28169556 + ... + 28170156.

Almost surely, 2^16930083456 is an apocalyptic number.

16930083456 is a gapful number since it is divisible by the number (16) 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 16930083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31205512800).

16930083456 is an abundant number, since it is smaller than the sum of its proper divisors (45480942144).

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

16930083456 is a wasteful number, since it uses less digits than its factorization.

16930083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 16930083456 in words is "sixteen billion, nine hundred thirty million, eighty-three thousand, four hundred fifty-six".