73414986304 has 63 divisors (see below), whose sum is σ = 160182775011. Its totient is φ = 33359610240.

The previous prime is 73414986301. The next prime is 73414986311. The reversal of 73414986304 is 40368941437.

The square root of 73414986304 is 270952.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73414986301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23842237 + ... + 23845315.

Almost surely, 2^73414986304 is an apocalyptic number.

73414986304 is the 270952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73414986304

73414986304 is an abundant number, since it is smaller than the sum of its proper divisors (86767788707).

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

73414986304 is an frugal number, since it uses more digits than its factorization.

73414986304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 73414986304 by its sum of digits (49), we get a square (3597334328896 = 1896664²).

The spelling of 73414986304 in words is "seventy-three billion, four hundred fourteen million, nine hundred eighty-six thousand, three hundred four".