16499114311680 has 4352 divisors, whose sum is σ = 83203619143680. Its totient is φ = 3027071139840.

The previous prime is 16499114311567. The next prime is 16499114311747. The reversal of 16499114311680 is 8611341199461.

16499114311680 is a `hidden beast` number, since 1 + 6 + 49 + 9 + 1 + 1 + 431 + 168 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 717352796149 + ... + 717352796171.

Almost surely, 2^{16499114311680} is an apocalyptic number.

16499114311680 is a gapful number since it is divisible by the number (10) 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 16499114311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41601809571840).

16499114311680 is an abundant number, since it is smaller than the sum of its proper divisors (66704504832000).

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

16499114311680 is an frugal number, since it uses more digits than its factorization.

16499114311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 16499114311680 in words is "sixteen trillion, four hundred ninety-nine billion, one hundred fourteen million, three hundred eleven thousand, six hundred eighty".