16598955409344 has 1680 divisors, whose sum is σ = 65020658619840. Its totient is φ = 4092589670400.

The previous prime is 16598955409331. The next prime is 16598955409397. The reversal of 16598955409344 is 44390455989561.

16598955409344 is a `hidden beast` number, since 1 + 6 + 5 + 98 + 95 + 5 + 409 + 3 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7767409044 + ... + 7767411180.

It is an arithmetic number, because the mean of its divisors is an integer number (38702772988).

Almost surely, 2^{16598955409344} is an apocalyptic number.

16598955409344 is a gapful number since it is divisible by the number (14) 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 16598955409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32510329309920).

16598955409344 is an abundant number, since it is smaller than the sum of its proper divisors (48421703210496).

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

16598955409344 is a wasteful number, since it uses less digits than its factorization.

16598955409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 16598955409344 in words is "sixteen trillion, five hundred ninety-eight billion, nine hundred fifty-five million, four hundred nine thousand, three hundred forty-four".