45756204649 has 9 divisors (see below), whose sum is σ = 45956221623. Its totient is φ = 45557057232.

The previous prime is 45756204647. The next prime is 45756204661. The reversal of 45756204649 is 94640265754.

The square root of 45756204649 is 213907.

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., 41817387049 + 3938817600 = 204493^2 + 62760^2 .

It is not a de Polignac number, because 45756204649 - 2¹ = 45756204647 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45756204596 and 45756204605.

It is not an unprimeable number, because it can be changed into a prime (45756204647) 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, 87487702 + ... + 87488224.

It is an arithmetic number, because the mean of its divisors is an integer number (5106246847).

Almost surely, 2^45756204649 is an apocalyptic number.

45756204649 is the 213907-th square number.

45756204649 is the 106954-th centered octagonal number.

It is an amenable number.

45756204649 is a deficient number, since it is larger than the sum of its proper divisors (200016974).

45756204649 is an frugal number, since it uses more digits than its factorization.

45756204649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 45756204649 in words is "forty-five billion, seven hundred fifty-six million, two hundred four thousand, six hundred forty-nine".