161773414742016 has 960 divisors, whose sum is σ = 603089178531840. Its totient is φ = 41973618769920.

The previous prime is 161773414742011. The next prime is 161773414742029. The reversal of 161773414742016 is 610247414377161.

161773414742016 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 73 + 4 + 147 + 420 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161773414742011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12735049521 + ... + 12735062223.

It is an arithmetic number, because the mean of its divisors is an integer number (628217894304).

Almost surely, 2^{161773414742016} is an apocalyptic number.

161773414742016 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 161773414742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301544589265920).

161773414742016 is an abundant number, since it is smaller than the sum of its proper divisors (441315763789824).

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

161773414742016 is a wasteful number, since it uses less digits than its factorization.

161773414742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13752 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 161773414742016 in words is "one hundred sixty-one trillion, seven hundred seventy-three billion, four hundred fourteen million, seven hundred forty-two thousand, sixteen".