45029264401 has 27 divisors (see below), whose sum is σ = 50252975227. Its totient is φ = 40318190000.

The previous prime is 45029264347. The next prime is 45029264411. The reversal of 45029264401 is 10446292054.

The square root of 45029264401 is 212201.

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

It can be written as a sum of positive squares in only one way, i.e., 43263584001 + 1765680400 = 207999^2 + 42020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-45029264401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45029264411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 235755216 + ... + 235755406.

Almost surely, 2^45029264401 is an apocalyptic number.

45029264401 is the 212201-st square number.

45029264401 is the 106101-st centered octagonal number.

It is an amenable number.

45029264401 is a deficient number, since it is larger than the sum of its proper divisors (5223710826).

45029264401 is an equidigital number, since it uses as much as digits as its factorization.

45029264401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 45029264401 in words is "forty-five billion, twenty-nine million, two hundred sixty-four thousand, four hundred one".