16906775481288 has 1536 divisors, whose sum is σ = 61138022400000. Its totient is φ = 4181368665600.

The previous prime is 16906775481259. The next prime is 16906775481419. The reversal of 16906775481288 is 88218457760961.

It is a happy number.

16906775481288 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 6 + 77 + 548 + 1 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 94451259583 + ... + 94451259761.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400000).

Almost surely, 2^{16906775481288} is an apocalyptic number.

16906775481288 is a gapful number since it is divisible by the number (18) 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 16906775481288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30569011200000).

16906775481288 is an abundant number, since it is smaller than the sum of its proper divisors (44231246918712).

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

16906775481288 is a wasteful number, since it uses less digits than its factorization.

16906775481288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 16906775481288 in words is "sixteen trillion, nine hundred six billion, seven hundred seventy-five million, four hundred eighty-one thousand, two hundred eighty-eight".