16900219898352 has 480 divisors, whose sum is σ = 60267021235200. Its totient is φ = 4303891832832.

The previous prime is 16900219898291. The next prime is 16900219898501. The reversal of 16900219898352 is 25389891200961.

16900219898352 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 0 + 2 + 198 + 98 + 352 = 666.

It is a super-2 number, since 2×16900219898352² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 16900219898352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1145071549 + ... + 1145086307.

It is an arithmetic number, because the mean of its divisors is an integer number (125556294240).

Almost surely, 2^{16900219898352} is an apocalyptic number.

16900219898352 is a gapful number since it is divisible by the number (12) 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 16900219898352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30133510617600).

16900219898352 is an abundant number, since it is smaller than the sum of its proper divisors (43366801336848).

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

16900219898352 is a wasteful number, since it uses less digits than its factorization.

16900219898352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 16900219898352 in words is "sixteen trillion, nine hundred billion, two hundred nineteen million, eight hundred ninety-eight thousand, three hundred fifty-two".