73391144464 has 135 divisors (see below), whose sum is σ = 160921931023. Its totient is φ = 32400596800.

The previous prime is 73391144441. The next prime is 73391144503. The reversal of 73391144464 is 46444119337.

The square root of 73391144464 is 270908.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 560237679 + ... + 560237809.

Almost surely, 2^73391144464 is an apocalyptic number.

73391144464 is the 270908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73391144464

73391144464 is an abundant number, since it is smaller than the sum of its proper divisors (87530786559).

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

73391144464 is a wasteful number, since it uses less digits than its factorization.

73391144464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 191 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The spelling of 73391144464 in words is "seventy-three billion, three hundred ninety-one million, one hundred forty-four thousand, four hundred sixty-four".