45305434251 has 144 divisors (see below), whose sum is σ = 86920224768. Its totient is φ = 22458643200.

The previous prime is 45305434249. The next prime is 45305434259. The reversal of 45305434251 is 15243450354.

45305434251 is a `hidden beast` number, since 4 + 5 + 305 + 4 + 342 + 5 + 1 = 666.

It is not a de Polignac number, because 45305434251 - 2¹ = 45305434249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45305434259) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10975750 + ... + 10979876.

It is an arithmetic number, because the mean of its divisors is an integer number (603612672).

Almost surely, 2^45305434251 is an apocalyptic number.

45305434251 is a deficient number, since it is larger than the sum of its proper divisors (41614790517).

45305434251 is a wasteful number, since it uses less digits than its factorization.

45305434251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 45305434251 in words is "forty-five billion, three hundred five million, four hundred thirty-four thousand, two hundred fifty-one".