16883321264352 has 240 divisors, whose sum is σ = 52095363433344. Its totient is φ = 5356948608000.

The previous prime is 16883321264311. The next prime is 16883321264429. The reversal of 16883321264352 is 25346212338861.

16883321264352 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 3 + 3 + 21 + 264 + 352 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3179202 + ... + 6623742.

Almost surely, 2^{16883321264352} is an apocalyptic number.

16883321264352 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 16883321264352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26047681716672).

16883321264352 is an abundant number, since it is smaller than the sum of its proper divisors (35212042168992).

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

16883321264352 is a wasteful number, since it uses less digits than its factorization.

16883321264352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444655 (or 3444638 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 16883321264352 in words is "sixteen trillion, eight hundred eighty-three billion, three hundred twenty-one million, two hundred sixty-four thousand, three hundred fifty-two".