16984999140408 has 192 divisors, whose sum is σ = 51750279060480. Its totient is φ = 4993436448000.

The previous prime is 16984999140391. The next prime is 16984999140409. The reversal of 16984999140408 is 80404199948961.

16984999140408 is a `hidden beast` number, since 1 + 6 + 9 + 8 + 4 + 99 + 91 + 40 + 408 = 666.

16984999140408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16984999140409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19178983 + ... + 20045033.

It is an arithmetic number, because the mean of its divisors is an integer number (269532703440).

Almost surely, 2^{16984999140408} is an apocalyptic number.

16984999140408 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 16984999140408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25875139530240).

16984999140408 is an abundant number, since it is smaller than the sum of its proper divisors (34765279920072).

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

16984999140408 is a wasteful number, since it uses less digits than its factorization.

16984999140408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867010 (or 867003 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 16984999140408 in words is "sixteen trillion, nine hundred eighty-four billion, nine hundred ninety-nine million, one hundred forty thousand, four hundred eight".