16461173042496 has 1344 divisors, whose sum is σ = 62758345359360. Its totient is φ = 4137588449280.

The previous prime is 16461173042441. The next prime is 16461173042513. The reversal of 16461173042496 is 69424037116461.

It is a happy number.

16461173042496 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 117 + 30 + 4 + 2 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4245851310 + ... + 4245855186.

It is an arithmetic number, because the mean of its divisors is an integer number (46695197440).

Almost surely, 2^{16461173042496} is an apocalyptic number.

16461173042496 is a gapful number since it is divisible by the number (16) 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 16461173042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31379172679680).

16461173042496 is an abundant number, since it is smaller than the sum of its proper divisors (46297172316864).

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

16461173042496 is a wasteful number, since it uses less digits than its factorization.

16461173042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 16461173042496 in words is "sixteen trillion, four hundred sixty-one billion, one hundred seventy-three million, forty-two thousand, four hundred ninety-six".