16541799041952 has 384 divisors, whose sum is σ = 51038897817600. Its totient is φ = 5197785956352.

The previous prime is 16541799041941. The next prime is 16541799041953. The reversal of 16541799041952 is 25914099714561.

16541799041952 is a `hidden beast` number, since 1 + 6 + 5 + 417 + 9 + 90 + 41 + 95 + 2 = 666.

It is a super-2 number, since 2×16541799041952² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16541799041952.

It is not an unprimeable number, because it can be changed into a prime (16541799041953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4977969763 + ... + 4977973085.

It is an arithmetic number, because the mean of its divisors is an integer number (132913796400).

Almost surely, 2^{16541799041952} is an apocalyptic number.

16541799041952 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 16541799041952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25519448908800).

16541799041952 is an abundant number, since it is smaller than the sum of its proper divisors (34497098775648).

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

16541799041952 is a wasteful number, since it uses less digits than its factorization.

16541799041952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 16541799041952 in words is "sixteen trillion, five hundred forty-one billion, seven hundred ninety-nine million, forty-one thousand, nine hundred fifty-two".