45557914249 has 9 divisors (see below), whose sum is σ = 45755776839. Its totient is φ = 45360906360.

The previous prime is 45557914229. The next prime is 45557914271. The reversal of 45557914249 is 94241975554.

The square root of 45557914249 is 213443.

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., 14603030649 + 30954883600 = 120843^2 + 175940^2 .

It is not a de Polignac number, because 45557914249 - 2²⁵ = 45524359817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45557914249.

It is not an unprimeable number, because it can be changed into a prime (45557914229) by changing a digit.

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, 98396992 + ... + 98397454.

Almost surely, 2^45557914249 is an apocalyptic number.

45557914249 is the 213443-rd square number.

45557914249 is the 106722-nd centered octagonal number.

It is an amenable number.

45557914249 is a deficient number, since it is larger than the sum of its proper divisors (197862590).

45557914249 is an frugal number, since it uses more digits than its factorization.

45557914249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 924 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 55.

The spelling of 45557914249 in words is "forty-five billion, five hundred fifty-seven million, nine hundred fourteen thousand, two hundred forty-nine".