73437441903168 has 448 divisors, whose sum is σ = 226212919541760. Its totient is φ = 20593338974208.

The previous prime is 73437441903097. The next prime is 73437441903211. The reversal of 73437441903168 is 86130914473437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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, 13617175480 + ... + 13617180872.

Almost surely, 2^{73437441903168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73437441903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113106459770880).

73437441903168 is an abundant number, since it is smaller than the sum of its proper divisors (152775477638592).

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

73437441903168 is a wasteful number, since it uses less digits than its factorization.

73437441903168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 73437441903168 in words is "seventy-three trillion, four hundred thirty-seven billion, four hundred forty-one million, nine hundred three thousand, one hundred sixty-eight".