73353949054864 has 45 divisors (see below), whose sum is σ = 143177405714707. Its totient is φ = 36406929788672.

The previous prime is 73353949054831. The next prime is 73353949055003. The reversal of 73353949054864 is 46845094935337.

The square root of 73353949054864 is 8564692.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40765926432400 + 32588022622464 = 6384820^2 + 5708592^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73353949054793 and 73353949054802.

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 8 ways as a sum of consecutive naturals, for example, 4693443402 + ... + 4693459030.

Almost surely, 2^{73353949054864} is an apocalyptic number.

73353949054864 is the 8564692-nd square number.

It is an amenable number.

73353949054864 is a deficient number, since it is larger than the sum of its proper divisors (69823456659843).

73353949054864 is an frugal number, since it uses more digits than its factorization.

73353949054864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31540 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 70.

The spelling of 73353949054864 in words is "seventy-three trillion, three hundred fifty-three billion, nine hundred forty-nine million, fifty-four thousand, eight hundred sixty-four".