17978956416 has 192 divisors, whose sum is σ = 56218156800. Its totient is φ = 5494210560.

The previous prime is 17978956393. The next prime is 17978956423. The reversal of 17978956416 is 61465987971.

17978956416 is a `hidden beast` number, since 1 + 7 + 97 + 89 + 56 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665280 + ... + 691776.

It is an arithmetic number, because the mean of its divisors is an integer number (292802900).

Almost surely, 2^17978956416 is an apocalyptic number.

17978956416 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 17978956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28109078400).

17978956416 is an abundant number, since it is smaller than the sum of its proper divisors (38239200384).

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

17978956416 is a wasteful number, since it uses less digits than its factorization.

17978956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26567 (or 26552 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 17978956416 in words is "seventeen billion, nine hundred seventy-eight million, nine hundred fifty-six thousand, four hundred sixteen".