45994807296 has 117 divisors (see below), whose sum is σ = 132976715781. Its totient is φ = 15317876736.

The previous prime is 45994807241. The next prime is 45994807297. The reversal of 45994807296 is 69270849954.

The square root of 45994807296 is 214464.

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

45994807296 is a `hidden beast` number, since 45 + 99 + 480 + 7 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2035814400 + 43958992896 = 45120^2 + 209664^2 .

It is not an unprimeable number, because it can be changed into a prime (45994807297) 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, 41176530 + ... + 41177646.

Almost surely, 2^45994807296 is an apocalyptic number.

45994807296 is the 214464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45994807296

45994807296 is an abundant number, since it is smaller than the sum of its proper divisors (86981908485).

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

45994807296 is an frugal number, since it uses more digits than its factorization.

45994807296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 45994807296 in words is "forty-five billion, nine hundred ninety-four million, eight hundred seven thousand, two hundred ninety-six".