16937121508416 has 1008 divisors, whose sum is σ = 55326765079040. Its totient is φ = 5128069201920.

The previous prime is 16937121508357. The next prime is 16937121508421. The reversal of 16937121508416 is 61480512173961.

16937121508416 is a `hidden beast` number, since 1 + 6 + 9 + 3 + 7 + 1 + 215 + 0 + 8 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15001878540 + ... + 15001879668.

It is a 1-persistent number, because it is pandigital, but 2⋅16937121508416 = 33874243016832 is not.

Almost surely, 2^{16937121508416} is an apocalyptic number.

16937121508416 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 16937121508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27663382539520).

16937121508416 is an abundant number, since it is smaller than the sum of its proper divisors (38389643570624).

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

16937121508416 is a wasteful number, since it uses less digits than its factorization.

16937121508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 16937121508416 in words is "sixteen trillion, nine hundred thirty-seven billion, one hundred twenty-one million, five hundred eight thousand, four hundred sixteen".