16497627147936 has 576 divisors, whose sum is σ = 52503471820800. Its totient is φ = 4912832010240.

The previous prime is 16497627147893. The next prime is 16497627147959. The reversal of 16497627147936 is 63974172679461.

It is a happy number.

16497627147936 is a `hidden beast` number, since 1 + 6 + 4 + 97 + 62 + 7 + 1 + 479 + 3 + 6 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5306407950 + ... + 5306411058.

It is an arithmetic number, because the mean of its divisors is an integer number (91151860800).

Almost surely, 2^{16497627147936} is an apocalyptic number.

16497627147936 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 16497627147936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26251735910400).

16497627147936 is an abundant number, since it is smaller than the sum of its proper divisors (36005844672864).

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

16497627147936 is a wasteful number, since it uses less digits than its factorization.

16497627147936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3361 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 16497627147936 in words is "sixteen trillion, four hundred ninety-seven billion, six hundred twenty-seven million, one hundred forty-seven thousand, nine hundred thirty-six".